14.788 * [progress]: [Phase 1 of 3] Setting up. 0.001 * * * [progress]: [1/2] Preparing points 0.080 * * * [progress]: [2/2] Setting up program. 0.083 * [progress]: [Phase 2 of 3] Improving. 0.083 * [simplify]: Simplifying: (* (* 0.5 (cos re)) (+ (exp (- im)) (exp im))) 0.083 * [simplify]: Sending expressions to egg_math: (* (* h2 (cos h1)) (+ (exp (- h0)) (exp h0))) 0.085 * * [simplify]: iteration 0 : 23 enodes (cost 7 ) 0.086 * * [simplify]: iteration 1 : 60 enodes (cost 7 ) 0.088 * * [simplify]: iteration 2 : 112 enodes (cost 7 ) 0.090 * * [simplify]: iteration 3 : 236 enodes (cost 7 ) 0.093 * * [simplify]: iteration 4 : 520 enodes (cost 6 ) 0.097 * * [simplify]: iteration 5 : 702 enodes (cost 6 ) 0.105 * * [simplify]: iteration 6 : 1514 enodes (cost 6 ) 0.116 * * [simplify]: iteration 7 : 2284 enodes (cost 6 ) 0.154 * * [simplify]: iteration 8 : 5001 enodes (cost 6 ) 0.158 * * [progress]: iteration 1 / 4 0.158 * * * [progress]: picking best candidate 0.160 * * * * [pick]: Picked # 0.160 * * * [progress]: localizing error 0.173 * * * [progress]: generating rewritten candidates 0.173 * * * * [progress]: [ 1 / 2 ] rewriting at (2) 0.233 * * * * [progress]: [ 2 / 2 ] rewriting at (2 2) 0.253 * * * [progress]: generating series expansions 0.253 * * * * [progress]: [ 1 / 2 ] generating series at (2) 0.253 * [backup-simplify]: Simplify (* (* 0.5 (cos re)) (+ (exp (- im)) (exp im))) into (* 0.5 (* (cos re) (+ (exp im) (exp (- im))))) 0.253 * [approximate]: Taking taylor expansion of (* 0.5 (* (cos re) (+ (exp im) (exp (- im))))) in (re im) around 0 0.253 * [taylor]: Taking taylor expansion of (* 0.5 (* (cos re) (+ (exp im) (exp (- im))))) in im 0.253 * [taylor]: Taking taylor expansion of 0.5 in im 0.253 * [backup-simplify]: Simplify 0.5 into 0.5 0.253 * [taylor]: Taking taylor expansion of (* (cos re) (+ (exp im) (exp (- im)))) in im 0.253 * [taylor]: Taking taylor expansion of (cos re) in im 0.253 * [taylor]: Taking taylor expansion of re in im 0.253 * [backup-simplify]: Simplify re into re 0.253 * [backup-simplify]: Simplify (cos re) into (cos re) 0.253 * [backup-simplify]: Simplify (sin re) into (sin re) 0.253 * [taylor]: Taking taylor expansion of (+ (exp im) (exp (- im))) in im 0.253 * [taylor]: Taking taylor expansion of (exp im) in im 0.253 * [taylor]: Taking taylor expansion of im in im 0.253 * [backup-simplify]: Simplify 0 into 0 0.253 * [backup-simplify]: Simplify 1 into 1 0.253 * [backup-simplify]: Simplify (exp 0) into 1 0.253 * [taylor]: Taking taylor expansion of (exp (- im)) in im 0.253 * [taylor]: Taking taylor expansion of (- im) in im 0.253 * [taylor]: Taking taylor expansion of im in im 0.253 * [backup-simplify]: Simplify 0 into 0 0.253 * [backup-simplify]: Simplify 1 into 1 0.254 * [backup-simplify]: Simplify (- 0) into 0 0.254 * [backup-simplify]: Simplify (- 1) into -1 0.254 * [backup-simplify]: Simplify (exp 0) into 1 0.254 * [taylor]: Taking taylor expansion of (* 0.5 (* (cos re) (+ (exp im) (exp (- im))))) in re 0.254 * [taylor]: Taking taylor expansion of 0.5 in re 0.254 * [backup-simplify]: Simplify 0.5 into 0.5 0.254 * [taylor]: Taking taylor expansion of (* (cos re) (+ (exp im) (exp (- im)))) in re 0.254 * [taylor]: Taking taylor expansion of (cos re) in re 0.254 * [taylor]: Taking taylor expansion of re in re 0.254 * [backup-simplify]: Simplify 0 into 0 0.254 * [backup-simplify]: Simplify 1 into 1 0.254 * [taylor]: Taking taylor expansion of (+ (exp im) (exp (- im))) in re 0.254 * [taylor]: Taking taylor expansion of (exp im) in re 0.254 * [taylor]: Taking taylor expansion of im in re 0.254 * [backup-simplify]: Simplify im into im 0.254 * [backup-simplify]: Simplify (exp im) into (exp im) 0.254 * [taylor]: Taking taylor expansion of (exp (- im)) in re 0.254 * [taylor]: Taking taylor expansion of (- im) in re 0.254 * [taylor]: Taking taylor expansion of im in re 0.254 * [backup-simplify]: Simplify im into im 0.254 * [backup-simplify]: Simplify (- im) into (- im) 0.254 * [backup-simplify]: Simplify (- im) into (- im) 0.254 * [backup-simplify]: Simplify (exp (- im)) into (exp (- im)) 0.254 * [taylor]: Taking taylor expansion of (* 0.5 (* (cos re) (+ (exp im) (exp (- im))))) in re 0.254 * [taylor]: Taking taylor expansion of 0.5 in re 0.255 * [backup-simplify]: Simplify 0.5 into 0.5 0.255 * [taylor]: Taking taylor expansion of (* (cos re) (+ (exp im) (exp (- im)))) in re 0.255 * [taylor]: Taking taylor expansion of (cos re) in re 0.255 * [taylor]: Taking taylor expansion of re in re 0.255 * [backup-simplify]: Simplify 0 into 0 0.255 * [backup-simplify]: Simplify 1 into 1 0.255 * [taylor]: Taking taylor expansion of (+ (exp im) (exp (- im))) in re 0.255 * [taylor]: Taking taylor expansion of (exp im) in re 0.255 * [taylor]: Taking taylor expansion of im in re 0.255 * [backup-simplify]: Simplify im into im 0.255 * [backup-simplify]: Simplify (exp im) into (exp im) 0.255 * [taylor]: Taking taylor expansion of (exp (- im)) in re 0.255 * [taylor]: Taking taylor expansion of (- im) in re 0.255 * [taylor]: Taking taylor expansion of im in re 0.255 * [backup-simplify]: Simplify im into im 0.255 * [backup-simplify]: Simplify (- im) into (- im) 0.255 * [backup-simplify]: Simplify (- im) into (- im) 0.255 * [backup-simplify]: Simplify (exp (- im)) into (exp (- im)) 0.255 * [backup-simplify]: Simplify (+ (exp im) (exp (- im))) into (+ (exp im) (exp (- im))) 0.255 * [backup-simplify]: Simplify (* 1 (+ (exp im) (exp (- im)))) into (+ (exp im) (exp (- im))) 0.255 * [backup-simplify]: Simplify (* 0.5 (+ (exp im) (exp (- im)))) into (* 0.5 (+ (exp im) (exp (- im)))) 0.255 * [taylor]: Taking taylor expansion of (* 0.5 (+ (exp im) (exp (- im)))) in im 0.255 * [taylor]: Taking taylor expansion of 0.5 in im 0.255 * [backup-simplify]: Simplify 0.5 into 0.5 0.255 * [taylor]: Taking taylor expansion of (+ (exp im) (exp (- im))) in im 0.255 * [taylor]: Taking taylor expansion of (exp im) in im 0.255 * [taylor]: Taking taylor expansion of im in im 0.255 * [backup-simplify]: Simplify 0 into 0 0.255 * [backup-simplify]: Simplify 1 into 1 0.255 * [backup-simplify]: Simplify (exp 0) into 1 0.255 * [taylor]: Taking taylor expansion of (exp (- im)) in im 0.255 * [taylor]: Taking taylor expansion of (- im) in im 0.255 * [taylor]: Taking taylor expansion of im in im 0.255 * [backup-simplify]: Simplify 0 into 0 0.255 * [backup-simplify]: Simplify 1 into 1 0.256 * [backup-simplify]: Simplify (- 0) into 0 0.256 * [backup-simplify]: Simplify (- 1) into -1 0.256 * [backup-simplify]: Simplify (exp 0) into 1 0.256 * [backup-simplify]: Simplify (+ 1 1) into 2 0.256 * [backup-simplify]: Simplify (* 0.5 2) into 1.0 0.256 * [backup-simplify]: Simplify 1.0 into 1.0 0.257 * [backup-simplify]: Simplify (* (exp im) (+ (* (/ (pow 0 1) 1)))) into 0 0.257 * [backup-simplify]: Simplify (- im) into (- im) 0.257 * [backup-simplify]: Simplify (- 0) into 0 0.258 * [backup-simplify]: Simplify (* (exp (- im)) (+ (* (/ (pow 0 1) 1)))) into 0 0.258 * [backup-simplify]: Simplify (+ 0 0) into 0 0.258 * [backup-simplify]: Simplify (+ 0) into 0 0.258 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 (+ (exp im) (exp (- im))))) into 0 0.259 * [backup-simplify]: Simplify (+ (* 0.5 0) (* 0 (+ (exp im) (exp (- im))))) into 0 0.259 * [taylor]: Taking taylor expansion of 0 in im 0.259 * [backup-simplify]: Simplify 0 into 0 0.259 * [backup-simplify]: Simplify 0 into 0 0.259 * [backup-simplify]: Simplify (* (exp 0) (+ (* (/ (pow 1 1) 1)))) into 1 0.260 * [backup-simplify]: Simplify (- 1) into -1 0.260 * [backup-simplify]: Simplify (* (exp 0) (+ (* (/ (pow -1 1) 1)))) into -1 0.260 * [backup-simplify]: Simplify (+ 1 -1) into 0 0.261 * [backup-simplify]: Simplify (+ (* 0.5 0) (* 0 2)) into 0 0.261 * [backup-simplify]: Simplify 0 into 0 0.262 * [backup-simplify]: Simplify (* (exp im) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 0.262 * [backup-simplify]: Simplify (- im) into (- im) 0.262 * [backup-simplify]: Simplify (- 0) into 0 0.262 * [backup-simplify]: Simplify (- 0) into 0 0.263 * [backup-simplify]: Simplify (* (exp (- im)) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 0.263 * [backup-simplify]: Simplify (+ 0 0) into 0 0.263 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 1 2) 2)) 0) into -1/2 0.264 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* -1/2 (+ (exp im) (exp (- im)))))) into (- (+ (* 1/2 (exp im)) (* 1/2 (exp (- im))))) 0.264 * [backup-simplify]: Simplify (+ (* 0.5 (- (+ (* 1/2 (exp im)) (* 1/2 (exp (- im)))))) (+ (* 0 0) (* 0 (+ (exp im) (exp (- im)))))) into (- (+ (* 0.25 (exp im)) (* 0.25 (exp (- im))))) 0.264 * [taylor]: Taking taylor expansion of (- (+ (* 0.25 (exp im)) (* 0.25 (exp (- im))))) in im 0.264 * [taylor]: Taking taylor expansion of (+ (* 0.25 (exp im)) (* 0.25 (exp (- im)))) in im 0.264 * [taylor]: Taking taylor expansion of (* 0.25 (exp im)) in im 0.265 * [taylor]: Taking taylor expansion of 0.25 in im 0.265 * [backup-simplify]: Simplify 0.25 into 0.25 0.265 * [taylor]: Taking taylor expansion of (exp im) in im 0.265 * [taylor]: Taking taylor expansion of im in im 0.265 * [backup-simplify]: Simplify 0 into 0 0.265 * [backup-simplify]: Simplify 1 into 1 0.265 * [backup-simplify]: Simplify (exp 0) into 1 0.265 * [taylor]: Taking taylor expansion of (* 0.25 (exp (- im))) in im 0.265 * [taylor]: Taking taylor expansion of 0.25 in im 0.265 * [backup-simplify]: Simplify 0.25 into 0.25 0.265 * [taylor]: Taking taylor expansion of (exp (- im)) in im 0.265 * [taylor]: Taking taylor expansion of (- im) in im 0.265 * [taylor]: Taking taylor expansion of im in im 0.265 * [backup-simplify]: Simplify 0 into 0 0.265 * [backup-simplify]: Simplify 1 into 1 0.265 * [backup-simplify]: Simplify (- 0) into 0 0.265 * [backup-simplify]: Simplify (- 1) into -1 0.265 * [backup-simplify]: Simplify (exp 0) into 1 0.265 * [backup-simplify]: Simplify (* 0.25 1) into 0.25 0.266 * [backup-simplify]: Simplify (* 0.25 1) into 0.25 0.266 * [backup-simplify]: Simplify (+ 0.25 0.25) into 0.5 0.266 * [backup-simplify]: Simplify (- 0.5) into (- 0.5) 0.266 * [backup-simplify]: Simplify (- 0.5) into (- 0.5) 0.266 * [backup-simplify]: Simplify 0 into 0 0.267 * [backup-simplify]: Simplify (* (exp 0) (+ (* (/ (pow 1 2) 2)) (* (/ (pow 0 1) 1)))) into 1/2 0.267 * [backup-simplify]: Simplify (- 1) into -1 0.268 * [backup-simplify]: Simplify (- 0) into 0 0.268 * [backup-simplify]: Simplify (* (exp 0) (+ (* (/ (pow -1 2) 2)) (* (/ (pow 0 1) 1)))) into 1/2 0.269 * [backup-simplify]: Simplify (+ 1/2 1/2) into 1 0.270 * [backup-simplify]: Simplify (+ (* 0.5 1) (+ (* 0 0) (* 0 2))) into 0.5 0.270 * [backup-simplify]: Simplify 0.5 into 0.5 0.270 * [backup-simplify]: Simplify (+ (* 0.5 (pow (* im 1) 2)) (+ (* (- 0.5) (pow (* 1 re) 2)) 1.0)) into (- (+ (* 0.5 (pow im 2)) 1.0) (* 0.5 (pow re 2))) 0.271 * [backup-simplify]: Simplify (* (* 0.5 (cos (/ 1 re))) (+ (exp (- (/ 1 im))) (exp (/ 1 im)))) into (* 0.5 (* (cos (/ 1 re)) (+ (exp (- (/ 1 im))) (exp (/ 1 im))))) 0.271 * [approximate]: Taking taylor expansion of (* 0.5 (* (cos (/ 1 re)) (+ (exp (- (/ 1 im))) (exp (/ 1 im))))) in (re im) around 0 0.271 * [taylor]: Taking taylor expansion of (* 0.5 (* (cos (/ 1 re)) (+ (exp (- (/ 1 im))) (exp (/ 1 im))))) in im 0.271 * [taylor]: Taking taylor expansion of 0.5 in im 0.271 * [backup-simplify]: Simplify 0.5 into 0.5 0.271 * [taylor]: Taking taylor expansion of (* (cos (/ 1 re)) (+ (exp (- (/ 1 im))) (exp (/ 1 im)))) in im 0.271 * [taylor]: Taking taylor expansion of (cos (/ 1 re)) in im 0.271 * [taylor]: Taking taylor expansion of (/ 1 re) in im 0.271 * [taylor]: Taking taylor expansion of re in im 0.271 * [backup-simplify]: Simplify re into re 0.271 * [backup-simplify]: Simplify (/ 1 re) into (/ 1 re) 0.271 * [backup-simplify]: Simplify (cos (/ 1 re)) into (cos (/ 1 re)) 0.271 * [backup-simplify]: Simplify (sin (/ 1 re)) into (sin (/ 1 re)) 0.271 * [taylor]: Taking taylor expansion of (+ (exp (- (/ 1 im))) (exp (/ 1 im))) in im 0.271 * [taylor]: Taking taylor expansion of (exp (- (/ 1 im))) in im 0.271 * [taylor]: Taking taylor expansion of (- (/ 1 im)) in im 0.271 * [taylor]: Taking taylor expansion of (/ 1 im) in im 0.271 * [taylor]: Taking taylor expansion of im in im 0.271 * [backup-simplify]: Simplify 0 into 0 0.271 * [backup-simplify]: Simplify 1 into 1 0.271 * [backup-simplify]: Simplify (/ 1 1) into 1 0.271 * [backup-simplify]: Simplify (- 1) into -1 0.271 * [backup-simplify]: Simplify (exp (- (/ 1 im))) into (exp (- (/ 1 im))) 0.271 * [taylor]: Taking taylor expansion of (exp (/ 1 im)) in im 0.271 * [taylor]: Taking taylor expansion of (/ 1 im) in im 0.271 * [taylor]: Taking taylor expansion of im in im 0.271 * [backup-simplify]: Simplify 0 into 0 0.272 * [backup-simplify]: Simplify 1 into 1 0.272 * [backup-simplify]: Simplify (/ 1 1) into 1 0.272 * [backup-simplify]: Simplify (exp (/ 1 im)) into (exp (/ 1 im)) 0.272 * [taylor]: Taking taylor expansion of (* 0.5 (* (cos (/ 1 re)) (+ (exp (- (/ 1 im))) (exp (/ 1 im))))) in re 0.272 * [taylor]: Taking taylor expansion of 0.5 in re 0.272 * [backup-simplify]: Simplify 0.5 into 0.5 0.272 * [taylor]: Taking taylor expansion of (* (cos (/ 1 re)) (+ (exp (- (/ 1 im))) (exp (/ 1 im)))) in re 0.272 * [taylor]: Taking taylor expansion of (cos (/ 1 re)) in re 0.272 * [taylor]: Taking taylor expansion of (/ 1 re) in re 0.272 * [taylor]: Taking taylor expansion of re in re 0.272 * [backup-simplify]: Simplify 0 into 0 0.272 * [backup-simplify]: Simplify 1 into 1 0.272 * [backup-simplify]: Simplify (/ 1 1) into 1 0.272 * [backup-simplify]: Simplify (cos (/ 1 re)) into (cos (/ 1 re)) 0.272 * [taylor]: Taking taylor expansion of (+ (exp (- (/ 1 im))) (exp (/ 1 im))) in re 0.272 * [taylor]: Taking taylor expansion of (exp (- (/ 1 im))) in re 0.272 * [taylor]: Taking taylor expansion of (- (/ 1 im)) in re 0.272 * [taylor]: Taking taylor expansion of (/ 1 im) in re 0.272 * [taylor]: Taking taylor expansion of im in re 0.272 * [backup-simplify]: Simplify im into im 0.272 * [backup-simplify]: Simplify (/ 1 im) into (/ 1 im) 0.272 * [backup-simplify]: Simplify (- (/ 1 im)) into (- (/ 1 im)) 0.272 * [backup-simplify]: Simplify (- (/ 1 im)) into (- (/ 1 im)) 0.272 * [backup-simplify]: Simplify (exp (- (/ 1 im))) into (exp (- (/ 1 im))) 0.272 * [taylor]: Taking taylor expansion of (exp (/ 1 im)) in re 0.273 * [taylor]: Taking taylor expansion of (/ 1 im) in re 0.273 * [taylor]: Taking taylor expansion of im in re 0.273 * [backup-simplify]: Simplify im into im 0.273 * [backup-simplify]: Simplify (/ 1 im) into (/ 1 im) 0.273 * [backup-simplify]: Simplify (exp (/ 1 im)) into (exp (/ 1 im)) 0.273 * [taylor]: Taking taylor expansion of (* 0.5 (* (cos (/ 1 re)) (+ (exp (- (/ 1 im))) (exp (/ 1 im))))) in re 0.273 * [taylor]: Taking taylor expansion of 0.5 in re 0.273 * [backup-simplify]: Simplify 0.5 into 0.5 0.273 * [taylor]: Taking taylor expansion of (* (cos (/ 1 re)) (+ (exp (- (/ 1 im))) (exp (/ 1 im)))) in re 0.273 * [taylor]: Taking taylor expansion of (cos (/ 1 re)) in re 0.273 * [taylor]: Taking taylor expansion of (/ 1 re) in re 0.273 * [taylor]: Taking taylor expansion of re in re 0.273 * [backup-simplify]: Simplify 0 into 0 0.273 * [backup-simplify]: Simplify 1 into 1 0.273 * [backup-simplify]: Simplify (/ 1 1) into 1 0.273 * [backup-simplify]: Simplify (cos (/ 1 re)) into (cos (/ 1 re)) 0.273 * [taylor]: Taking taylor expansion of (+ (exp (- (/ 1 im))) (exp (/ 1 im))) in re 0.273 * [taylor]: Taking taylor expansion of (exp (- (/ 1 im))) in re 0.273 * [taylor]: Taking taylor expansion of (- (/ 1 im)) in re 0.273 * [taylor]: Taking taylor expansion of (/ 1 im) in re 0.273 * [taylor]: Taking taylor expansion of im in re 0.273 * [backup-simplify]: Simplify im into im 0.273 * [backup-simplify]: Simplify (/ 1 im) into (/ 1 im) 0.273 * [backup-simplify]: Simplify (- (/ 1 im)) into (- (/ 1 im)) 0.273 * [backup-simplify]: Simplify (- (/ 1 im)) into (- (/ 1 im)) 0.273 * [backup-simplify]: Simplify (exp (- (/ 1 im))) into (exp (- (/ 1 im))) 0.273 * [taylor]: Taking taylor expansion of (exp (/ 1 im)) in re 0.273 * [taylor]: Taking taylor expansion of (/ 1 im) in re 0.273 * [taylor]: Taking taylor expansion of im in re 0.273 * [backup-simplify]: Simplify im into im 0.273 * [backup-simplify]: Simplify (/ 1 im) into (/ 1 im) 0.273 * [backup-simplify]: Simplify (exp (/ 1 im)) into (exp (/ 1 im)) 0.274 * [backup-simplify]: Simplify (+ (exp (- (/ 1 im))) (exp (/ 1 im))) into (+ (exp (- (/ 1 im))) (exp (/ 1 im))) 0.274 * [backup-simplify]: Simplify (* (cos (/ 1 re)) (+ (exp (- (/ 1 im))) (exp (/ 1 im)))) into (* (cos (/ 1 re)) (+ (exp (- (/ 1 im))) (exp (/ 1 im)))) 0.274 * [backup-simplify]: Simplify (* 0.5 (* (cos (/ 1 re)) (+ (exp (- (/ 1 im))) (exp (/ 1 im))))) into (* 0.5 (* (cos (/ 1 re)) (+ (exp (- (/ 1 im))) (exp (/ 1 im))))) 0.274 * [taylor]: Taking taylor expansion of (* 0.5 (* (cos (/ 1 re)) (+ (exp (- (/ 1 im))) (exp (/ 1 im))))) in im 0.274 * [taylor]: Taking taylor expansion of 0.5 in im 0.274 * [backup-simplify]: Simplify 0.5 into 0.5 0.274 * [taylor]: Taking taylor expansion of (* (cos (/ 1 re)) (+ (exp (- (/ 1 im))) (exp (/ 1 im)))) in im 0.274 * [taylor]: Taking taylor expansion of (cos (/ 1 re)) in im 0.274 * [taylor]: Taking taylor expansion of (/ 1 re) in im 0.274 * [taylor]: Taking taylor expansion of re in im 0.274 * [backup-simplify]: Simplify re into re 0.274 * [backup-simplify]: Simplify (/ 1 re) into (/ 1 re) 0.274 * [backup-simplify]: Simplify (cos (/ 1 re)) into (cos (/ 1 re)) 0.274 * [backup-simplify]: Simplify (sin (/ 1 re)) into (sin (/ 1 re)) 0.274 * [taylor]: Taking taylor expansion of (+ (exp (- (/ 1 im))) (exp (/ 1 im))) in im 0.274 * [taylor]: Taking taylor expansion of (exp (- (/ 1 im))) in im 0.274 * [taylor]: Taking taylor expansion of (- (/ 1 im)) in im 0.274 * [taylor]: Taking taylor expansion of (/ 1 im) in im 0.274 * [taylor]: Taking taylor expansion of im in im 0.274 * [backup-simplify]: Simplify 0 into 0 0.274 * [backup-simplify]: Simplify 1 into 1 0.274 * [backup-simplify]: Simplify (/ 1 1) into 1 0.275 * [backup-simplify]: Simplify (- 1) into -1 0.275 * [backup-simplify]: Simplify (exp (- (/ 1 im))) into (exp (- (/ 1 im))) 0.275 * [taylor]: Taking taylor expansion of (exp (/ 1 im)) in im 0.275 * [taylor]: Taking taylor expansion of (/ 1 im) in im 0.275 * [taylor]: Taking taylor expansion of im in im 0.275 * [backup-simplify]: Simplify 0 into 0 0.275 * [backup-simplify]: Simplify 1 into 1 0.275 * [backup-simplify]: Simplify (/ 1 1) into 1 0.275 * [backup-simplify]: Simplify (exp (/ 1 im)) into (exp (/ 1 im)) 0.275 * [backup-simplify]: Simplify (* (cos (/ 1 re)) 1) into (cos (/ 1 re)) 0.275 * [backup-simplify]: Simplify (* (sin (/ 1 re)) 0) into 0 0.275 * [backup-simplify]: Simplify (- 0) into 0 0.276 * [backup-simplify]: Simplify (+ (cos (/ 1 re)) 0) into (cos (/ 1 re)) 0.276 * [backup-simplify]: Simplify (+ (exp (- (/ 1 im))) (exp (/ 1 im))) into (+ (exp (- (/ 1 im))) (exp (/ 1 im))) 0.276 * [backup-simplify]: Simplify (* (cos (/ 1 re)) (+ (exp (- (/ 1 im))) (exp (/ 1 im)))) into (* (cos (/ 1 re)) (+ (exp (- (/ 1 im))) (exp (/ 1 im)))) 0.276 * [backup-simplify]: Simplify (* 0.5 (* (cos (/ 1 re)) (+ (exp (- (/ 1 im))) (exp (/ 1 im))))) into (* 0.5 (* (cos (/ 1 re)) (+ (exp (- (/ 1 im))) (exp (/ 1 im))))) 0.276 * [backup-simplify]: Simplify (* 0.5 (* (cos (/ 1 re)) (+ (exp (- (/ 1 im))) (exp (/ 1 im))))) into (* 0.5 (* (cos (/ 1 re)) (+ (exp (- (/ 1 im))) (exp (/ 1 im))))) 0.276 * [backup-simplify]: Simplify (- (/ 1 im)) into (- (/ 1 im)) 0.276 * [backup-simplify]: Simplify (- (+ (* (/ 1 im) (/ 0 im)))) into 0 0.276 * [backup-simplify]: Simplify (- 0) into 0 0.277 * [backup-simplify]: Simplify (* (exp (- (/ 1 im))) (+ (* (/ (pow 0 1) 1)))) into 0 0.277 * [backup-simplify]: Simplify (- (+ (* (/ 1 im) (/ 0 im)))) into 0 0.277 * [backup-simplify]: Simplify (* (exp (/ 1 im)) (+ (* (/ (pow 0 1) 1)))) into 0 0.278 * [backup-simplify]: Simplify (+ 0 0) into 0 0.278 * [backup-simplify]: Simplify (+ (* (cos (/ 1 re)) 0) (* 0 (+ (exp (- (/ 1 im))) (exp (/ 1 im))))) into 0 0.278 * [backup-simplify]: Simplify (+ (* 0.5 0) (* 0 (* (cos (/ 1 re)) (+ (exp (- (/ 1 im))) (exp (/ 1 im)))))) into 0 0.278 * [taylor]: Taking taylor expansion of 0 in im 0.278 * [backup-simplify]: Simplify 0 into 0 0.278 * [backup-simplify]: Simplify 0 into 0 0.279 * [backup-simplify]: Simplify (+ 0 0) into 0 0.279 * [backup-simplify]: Simplify (+ 0) into 0 0.279 * [backup-simplify]: Simplify (+ (* (cos (/ 1 re)) 0) (* 0 1)) into 0 0.279 * [backup-simplify]: Simplify (- (+ (* (/ 1 re) (/ 0 re)))) into 0 0.280 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 0.280 * [backup-simplify]: Simplify (+ (* (sin (/ 1 re)) 0) (* 0 0)) into 0 0.280 * [backup-simplify]: Simplify (- 0) into 0 0.280 * [backup-simplify]: Simplify (+ 0 0) into 0 0.280 * [backup-simplify]: Simplify (+ (* (cos (/ 1 re)) 0) (* 0 (+ (exp (- (/ 1 im))) (exp (/ 1 im))))) into 0 0.281 * [backup-simplify]: Simplify (+ (* 0.5 0) (* 0 (* (cos (/ 1 re)) (+ (exp (- (/ 1 im))) (exp (/ 1 im)))))) into 0 0.281 * [backup-simplify]: Simplify 0 into 0 0.281 * [backup-simplify]: Simplify (- (/ 1 im)) into (- (/ 1 im)) 0.281 * [backup-simplify]: Simplify (- 0) into 0 0.281 * [backup-simplify]: Simplify (- (+ (* (/ 1 im) (/ 0 im)) (* 0 (/ 0 im)))) into 0 0.282 * [backup-simplify]: Simplify (- 0) into 0 0.282 * [backup-simplify]: Simplify (* (exp (- (/ 1 im))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 0.282 * [backup-simplify]: Simplify (- (+ (* (/ 1 im) (/ 0 im)) (* 0 (/ 0 im)))) into 0 0.283 * [backup-simplify]: Simplify (* (exp (/ 1 im)) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 0.283 * [backup-simplify]: Simplify (+ 0 0) into 0 0.284 * [backup-simplify]: Simplify (+ (* (cos (/ 1 re)) 0) (+ (* 0 0) (* 0 (+ (exp (- (/ 1 im))) (exp (/ 1 im)))))) into 0 0.284 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* 0 0) (* 0 (* (cos (/ 1 re)) (+ (exp (- (/ 1 im))) (exp (/ 1 im))))))) into 0 0.284 * [taylor]: Taking taylor expansion of 0 in im 0.284 * [backup-simplify]: Simplify 0 into 0 0.284 * [backup-simplify]: Simplify 0 into 0 0.284 * [backup-simplify]: Simplify 0 into 0 0.285 * [backup-simplify]: Simplify (+ 0 0) into 0 0.285 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0 0.286 * [backup-simplify]: Simplify (+ (* (cos (/ 1 re)) 0) (+ (* 0 0) (* 0 1))) into 0 0.286 * [backup-simplify]: Simplify (- (+ (* (/ 1 re) (/ 0 re)) (* 0 (/ 0 re)))) into 0 0.286 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 0.286 * [backup-simplify]: Simplify (+ (* (sin (/ 1 re)) 0) (+ (* 0 0) (* 0 0))) into 0 0.287 * [backup-simplify]: Simplify (- 0) into 0 0.287 * [backup-simplify]: Simplify (+ 0 0) into 0 0.287 * [backup-simplify]: Simplify (+ (* (cos (/ 1 re)) 0) (+ (* 0 0) (* 0 (+ (exp (- (/ 1 im))) (exp (/ 1 im)))))) into 0 0.288 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* 0 0) (* 0 (* (cos (/ 1 re)) (+ (exp (- (/ 1 im))) (exp (/ 1 im))))))) into 0 0.288 * [backup-simplify]: Simplify 0 into 0 0.288 * [backup-simplify]: Simplify (- (/ 1 im)) into (- (/ 1 im)) 0.288 * [backup-simplify]: Simplify (- 0) into 0 0.288 * [backup-simplify]: Simplify (- 0) into 0 0.289 * [backup-simplify]: Simplify (- 0) into 0 0.289 * [backup-simplify]: Simplify (- (+ (* (/ 1 im) (/ 0 im)) (* 0 (/ 0 im)) (* 0 (/ 0 im)))) into 0 0.289 * [backup-simplify]: Simplify (- 0) into 0 0.290 * [backup-simplify]: Simplify (* (exp (- (/ 1 im))) (+ (* (/ (pow 0 3) 6)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1)))) into 0 0.290 * [backup-simplify]: Simplify (- (+ (* (/ 1 im) (/ 0 im)) (* 0 (/ 0 im)) (* 0 (/ 0 im)))) into 0 0.291 * [backup-simplify]: Simplify (* (exp (/ 1 im)) (+ (* (/ (pow 0 3) 6)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1)))) into 0 0.291 * [backup-simplify]: Simplify (+ 0 0) into 0 0.292 * [backup-simplify]: Simplify (+ (* (cos (/ 1 re)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (+ (exp (- (/ 1 im))) (exp (/ 1 im))))))) into 0 0.293 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* 0 0) (+ (* 0 0) (* 0 (* (cos (/ 1 re)) (+ (exp (- (/ 1 im))) (exp (/ 1 im)))))))) into 0 0.293 * [taylor]: Taking taylor expansion of 0 in im 0.293 * [backup-simplify]: Simplify 0 into 0 0.293 * [backup-simplify]: Simplify 0 into 0 0.293 * [backup-simplify]: Simplify (* 0.5 (* (cos (/ 1 (/ 1 re))) (+ (exp (- (/ 1 (/ 1 im)))) (exp (/ 1 (/ 1 im)))))) into (* 0.5 (* (cos re) (+ (exp im) (exp (- im))))) 0.293 * [backup-simplify]: Simplify (* (* 0.5 (cos (/ 1 (- re)))) (+ (exp (- (/ 1 (- im)))) (exp (/ 1 (- im))))) into (* 0.5 (* (+ (exp (/ -1 im)) (exp (/ 1 im))) (cos (/ -1 re)))) 0.293 * [approximate]: Taking taylor expansion of (* 0.5 (* (+ (exp (/ -1 im)) (exp (/ 1 im))) (cos (/ -1 re)))) in (re im) around 0 0.293 * [taylor]: Taking taylor expansion of (* 0.5 (* (+ (exp (/ -1 im)) (exp (/ 1 im))) (cos (/ -1 re)))) in im 0.293 * [taylor]: Taking taylor expansion of 0.5 in im 0.293 * [backup-simplify]: Simplify 0.5 into 0.5 0.293 * [taylor]: Taking taylor expansion of (* (+ (exp (/ -1 im)) (exp (/ 1 im))) (cos (/ -1 re))) in im 0.293 * [taylor]: Taking taylor expansion of (+ (exp (/ -1 im)) (exp (/ 1 im))) in im 0.293 * [taylor]: Taking taylor expansion of (exp (/ -1 im)) in im 0.293 * [taylor]: Taking taylor expansion of (/ -1 im) in im 0.293 * [taylor]: Taking taylor expansion of -1 in im 0.293 * [backup-simplify]: Simplify -1 into -1 0.293 * [taylor]: Taking taylor expansion of im in im 0.293 * [backup-simplify]: Simplify 0 into 0 0.293 * [backup-simplify]: Simplify 1 into 1 0.294 * [backup-simplify]: Simplify (/ -1 1) into -1 0.294 * [backup-simplify]: Simplify (exp (/ -1 im)) into (exp (/ -1 im)) 0.294 * [taylor]: Taking taylor expansion of (exp (/ 1 im)) in im 0.294 * [taylor]: Taking taylor expansion of (/ 1 im) in im 0.294 * [taylor]: Taking taylor expansion of im in im 0.294 * [backup-simplify]: Simplify 0 into 0 0.294 * [backup-simplify]: Simplify 1 into 1 0.294 * [backup-simplify]: Simplify (/ 1 1) into 1 0.294 * [backup-simplify]: Simplify (exp (/ 1 im)) into (exp (/ 1 im)) 0.294 * [taylor]: Taking taylor expansion of (cos (/ -1 re)) in im 0.294 * [taylor]: Taking taylor expansion of (/ -1 re) in im 0.294 * [taylor]: Taking taylor expansion of -1 in im 0.294 * [backup-simplify]: Simplify -1 into -1 0.294 * [taylor]: Taking taylor expansion of re in im 0.294 * [backup-simplify]: Simplify re into re 0.294 * [backup-simplify]: Simplify (/ -1 re) into (/ -1 re) 0.294 * [backup-simplify]: Simplify (cos (/ -1 re)) into (cos (/ -1 re)) 0.294 * [backup-simplify]: Simplify (sin (/ -1 re)) into (sin (/ -1 re)) 0.294 * [taylor]: Taking taylor expansion of (* 0.5 (* (+ (exp (/ -1 im)) (exp (/ 1 im))) (cos (/ -1 re)))) in re 0.294 * [taylor]: Taking taylor expansion of 0.5 in re 0.294 * [backup-simplify]: Simplify 0.5 into 0.5 0.294 * [taylor]: Taking taylor expansion of (* (+ (exp (/ -1 im)) (exp (/ 1 im))) (cos (/ -1 re))) in re 0.294 * [taylor]: Taking taylor expansion of (+ (exp (/ -1 im)) (exp (/ 1 im))) in re 0.294 * [taylor]: Taking taylor expansion of (exp (/ -1 im)) in re 0.294 * [taylor]: Taking taylor expansion of (/ -1 im) in re 0.294 * [taylor]: Taking taylor expansion of -1 in re 0.294 * [backup-simplify]: Simplify -1 into -1 0.294 * [taylor]: Taking taylor expansion of im in re 0.294 * [backup-simplify]: Simplify im into im 0.294 * [backup-simplify]: Simplify (/ -1 im) into (/ -1 im) 0.294 * [backup-simplify]: Simplify (exp (/ -1 im)) into (exp (/ -1 im)) 0.294 * [taylor]: Taking taylor expansion of (exp (/ 1 im)) in re 0.294 * [taylor]: Taking taylor expansion of (/ 1 im) in re 0.294 * [taylor]: Taking taylor expansion of im in re 0.294 * [backup-simplify]: Simplify im into im 0.295 * [backup-simplify]: Simplify (/ 1 im) into (/ 1 im) 0.295 * [backup-simplify]: Simplify (exp (/ 1 im)) into (exp (/ 1 im)) 0.295 * [taylor]: Taking taylor expansion of (cos (/ -1 re)) in re 0.295 * [taylor]: Taking taylor expansion of (/ -1 re) in re 0.295 * [taylor]: Taking taylor expansion of -1 in re 0.295 * [backup-simplify]: Simplify -1 into -1 0.295 * [taylor]: Taking taylor expansion of re in re 0.295 * [backup-simplify]: Simplify 0 into 0 0.295 * [backup-simplify]: Simplify 1 into 1 0.295 * [backup-simplify]: Simplify (/ -1 1) into -1 0.295 * [backup-simplify]: Simplify (cos (/ -1 re)) into (cos (/ -1 re)) 0.295 * [taylor]: Taking taylor expansion of (* 0.5 (* (+ (exp (/ -1 im)) (exp (/ 1 im))) (cos (/ -1 re)))) in re 0.295 * [taylor]: Taking taylor expansion of 0.5 in re 0.295 * [backup-simplify]: Simplify 0.5 into 0.5 0.295 * [taylor]: Taking taylor expansion of (* (+ (exp (/ -1 im)) (exp (/ 1 im))) (cos (/ -1 re))) in re 0.295 * [taylor]: Taking taylor expansion of (+ (exp (/ -1 im)) (exp (/ 1 im))) in re 0.295 * [taylor]: Taking taylor expansion of (exp (/ -1 im)) in re 0.295 * [taylor]: Taking taylor expansion of (/ -1 im) in re 0.295 * [taylor]: Taking taylor expansion of -1 in re 0.295 * [backup-simplify]: Simplify -1 into -1 0.295 * [taylor]: Taking taylor expansion of im in re 0.295 * [backup-simplify]: Simplify im into im 0.295 * [backup-simplify]: Simplify (/ -1 im) into (/ -1 im) 0.295 * [backup-simplify]: Simplify (exp (/ -1 im)) into (exp (/ -1 im)) 0.295 * [taylor]: Taking taylor expansion of (exp (/ 1 im)) in re 0.295 * [taylor]: Taking taylor expansion of (/ 1 im) in re 0.295 * [taylor]: Taking taylor expansion of im in re 0.295 * [backup-simplify]: Simplify im into im 0.295 * [backup-simplify]: Simplify (/ 1 im) into (/ 1 im) 0.295 * [backup-simplify]: Simplify (exp (/ 1 im)) into (exp (/ 1 im)) 0.295 * [taylor]: Taking taylor expansion of (cos (/ -1 re)) in re 0.295 * [taylor]: Taking taylor expansion of (/ -1 re) in re 0.295 * [taylor]: Taking taylor expansion of -1 in re 0.295 * [backup-simplify]: Simplify -1 into -1 0.295 * [taylor]: Taking taylor expansion of re in re 0.295 * [backup-simplify]: Simplify 0 into 0 0.295 * [backup-simplify]: Simplify 1 into 1 0.296 * [backup-simplify]: Simplify (/ -1 1) into -1 0.296 * [backup-simplify]: Simplify (cos (/ -1 re)) into (cos (/ -1 re)) 0.296 * [backup-simplify]: Simplify (+ (exp (/ -1 im)) (exp (/ 1 im))) into (+ (exp (/ -1 im)) (exp (/ 1 im))) 0.296 * [backup-simplify]: Simplify (* (+ (exp (/ -1 im)) (exp (/ 1 im))) (cos (/ -1 re))) into (* (+ (exp (/ -1 im)) (exp (/ 1 im))) (cos (/ -1 re))) 0.296 * [backup-simplify]: Simplify (* 0.5 (* (+ (exp (/ -1 im)) (exp (/ 1 im))) (cos (/ -1 re)))) into (* 0.5 (* (+ (exp (/ -1 im)) (exp (/ 1 im))) (cos (/ -1 re)))) 0.296 * [taylor]: Taking taylor expansion of (* 0.5 (* (+ (exp (/ -1 im)) (exp (/ 1 im))) (cos (/ -1 re)))) in im 0.296 * [taylor]: Taking taylor expansion of 0.5 in im 0.296 * [backup-simplify]: Simplify 0.5 into 0.5 0.296 * [taylor]: Taking taylor expansion of (* (+ (exp (/ -1 im)) (exp (/ 1 im))) (cos (/ -1 re))) in im 0.296 * [taylor]: Taking taylor expansion of (+ (exp (/ -1 im)) (exp (/ 1 im))) in im 0.296 * [taylor]: Taking taylor expansion of (exp (/ -1 im)) in im 0.296 * [taylor]: Taking taylor expansion of (/ -1 im) in im 0.296 * [taylor]: Taking taylor expansion of -1 in im 0.296 * [backup-simplify]: Simplify -1 into -1 0.296 * [taylor]: Taking taylor expansion of im in im 0.296 * [backup-simplify]: Simplify 0 into 0 0.296 * [backup-simplify]: Simplify 1 into 1 0.297 * [backup-simplify]: Simplify (/ -1 1) into -1 0.297 * [backup-simplify]: Simplify (exp (/ -1 im)) into (exp (/ -1 im)) 0.297 * [taylor]: Taking taylor expansion of (exp (/ 1 im)) in im 0.297 * [taylor]: Taking taylor expansion of (/ 1 im) in im 0.297 * [taylor]: Taking taylor expansion of im in im 0.297 * [backup-simplify]: Simplify 0 into 0 0.297 * [backup-simplify]: Simplify 1 into 1 0.297 * [backup-simplify]: Simplify (/ 1 1) into 1 0.297 * [backup-simplify]: Simplify (exp (/ 1 im)) into (exp (/ 1 im)) 0.297 * [taylor]: Taking taylor expansion of (cos (/ -1 re)) in im 0.297 * [taylor]: Taking taylor expansion of (/ -1 re) in im 0.297 * [taylor]: Taking taylor expansion of -1 in im 0.297 * [backup-simplify]: Simplify -1 into -1 0.297 * [taylor]: Taking taylor expansion of re in im 0.297 * [backup-simplify]: Simplify re into re 0.297 * [backup-simplify]: Simplify (/ -1 re) into (/ -1 re) 0.297 * [backup-simplify]: Simplify (cos (/ -1 re)) into (cos (/ -1 re)) 0.297 * [backup-simplify]: Simplify (sin (/ -1 re)) into (sin (/ -1 re)) 0.297 * [backup-simplify]: Simplify (+ (exp (/ -1 im)) (exp (/ 1 im))) into (+ (exp (/ -1 im)) (exp (/ 1 im))) 0.297 * [backup-simplify]: Simplify (* (cos (/ -1 re)) 1) into (cos (/ -1 re)) 0.298 * [backup-simplify]: Simplify (* (sin (/ -1 re)) 0) into 0 0.298 * [backup-simplify]: Simplify (- 0) into 0 0.298 * [backup-simplify]: Simplify (+ (cos (/ -1 re)) 0) into (cos (/ -1 re)) 0.298 * [backup-simplify]: Simplify (* (+ (exp (/ -1 im)) (exp (/ 1 im))) (cos (/ -1 re))) into (* (+ (exp (/ -1 im)) (exp (/ 1 im))) (cos (/ -1 re))) 0.298 * [backup-simplify]: Simplify (* 0.5 (* (+ (exp (/ -1 im)) (exp (/ 1 im))) (cos (/ -1 re)))) into (* 0.5 (* (+ (exp (/ -1 im)) (exp (/ 1 im))) (cos (/ -1 re)))) 0.298 * [backup-simplify]: Simplify (* 0.5 (* (+ (exp (/ -1 im)) (exp (/ 1 im))) (cos (/ -1 re)))) into (* 0.5 (* (+ (exp (/ -1 im)) (exp (/ 1 im))) (cos (/ -1 re)))) 0.298 * [backup-simplify]: Simplify (- (/ 0 im) (+ (* (/ -1 im) (/ 0 im)))) into 0 0.299 * [backup-simplify]: Simplify (* (exp (/ -1 im)) (+ (* (/ (pow 0 1) 1)))) into 0 0.299 * [backup-simplify]: Simplify (- (+ (* (/ 1 im) (/ 0 im)))) into 0 0.299 * [backup-simplify]: Simplify (* (exp (/ 1 im)) (+ (* (/ (pow 0 1) 1)))) into 0 0.300 * [backup-simplify]: Simplify (+ 0 0) into 0 0.300 * [backup-simplify]: Simplify (+ (* (+ (exp (/ -1 im)) (exp (/ 1 im))) 0) (* 0 (cos (/ -1 re)))) into 0 0.300 * [backup-simplify]: Simplify (+ (* 0.5 0) (* 0 (* (+ (exp (/ -1 im)) (exp (/ 1 im))) (cos (/ -1 re))))) into 0 0.300 * [taylor]: Taking taylor expansion of 0 in im 0.300 * [backup-simplify]: Simplify 0 into 0 0.300 * [backup-simplify]: Simplify 0 into 0 0.300 * [backup-simplify]: Simplify (+ 0) into 0 0.301 * [backup-simplify]: Simplify (+ (* (cos (/ -1 re)) 0) (* 0 1)) into 0 0.301 * [backup-simplify]: Simplify (- (/ 0 re) (+ (* (/ -1 re) (/ 0 re)))) into 0 0.301 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 0.302 * [backup-simplify]: Simplify (+ (* (sin (/ -1 re)) 0) (* 0 0)) into 0 0.302 * [backup-simplify]: Simplify (- 0) into 0 0.302 * [backup-simplify]: Simplify (+ 0 0) into 0 0.302 * [backup-simplify]: Simplify (+ 0 0) into 0 0.302 * [backup-simplify]: Simplify (+ (* (+ (exp (/ -1 im)) (exp (/ 1 im))) 0) (* 0 (cos (/ -1 re)))) into 0 0.303 * [backup-simplify]: Simplify (+ (* 0.5 0) (* 0 (* (+ (exp (/ -1 im)) (exp (/ 1 im))) (cos (/ -1 re))))) into 0 0.303 * [backup-simplify]: Simplify 0 into 0 0.303 * [backup-simplify]: Simplify (- (/ 0 im) (+ (* (/ -1 im) (/ 0 im)) (* 0 (/ 0 im)))) into 0 0.303 * [backup-simplify]: Simplify (* (exp (/ -1 im)) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 0.304 * [backup-simplify]: Simplify (- (+ (* (/ 1 im) (/ 0 im)) (* 0 (/ 0 im)))) into 0 0.304 * [backup-simplify]: Simplify (* (exp (/ 1 im)) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 0.305 * [backup-simplify]: Simplify (+ 0 0) into 0 0.305 * [backup-simplify]: Simplify (+ (* (+ (exp (/ -1 im)) (exp (/ 1 im))) 0) (+ (* 0 0) (* 0 (cos (/ -1 re))))) into 0 0.306 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* 0 0) (* 0 (* (+ (exp (/ -1 im)) (exp (/ 1 im))) (cos (/ -1 re)))))) into 0 0.306 * [taylor]: Taking taylor expansion of 0 in im 0.306 * [backup-simplify]: Simplify 0 into 0 0.306 * [backup-simplify]: Simplify 0 into 0 0.306 * [backup-simplify]: Simplify 0 into 0 0.306 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0 0.307 * [backup-simplify]: Simplify (+ (* (cos (/ -1 re)) 0) (+ (* 0 0) (* 0 1))) into 0 0.307 * [backup-simplify]: Simplify (- (/ 0 re) (+ (* (/ -1 re) (/ 0 re)) (* 0 (/ 0 re)))) into 0 0.307 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 0.308 * [backup-simplify]: Simplify (+ (* (sin (/ -1 re)) 0) (+ (* 0 0) (* 0 0))) into 0 0.308 * [backup-simplify]: Simplify (- 0) into 0 0.308 * [backup-simplify]: Simplify (+ 0 0) into 0 0.308 * [backup-simplify]: Simplify (+ 0 0) into 0 0.309 * [backup-simplify]: Simplify (+ (* (+ (exp (/ -1 im)) (exp (/ 1 im))) 0) (+ (* 0 0) (* 0 (cos (/ -1 re))))) into 0 0.309 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* 0 0) (* 0 (* (+ (exp (/ -1 im)) (exp (/ 1 im))) (cos (/ -1 re)))))) into 0 0.309 * [backup-simplify]: Simplify 0 into 0 0.309 * [backup-simplify]: Simplify (- (/ 0 im) (+ (* (/ -1 im) (/ 0 im)) (* 0 (/ 0 im)) (* 0 (/ 0 im)))) into 0 0.310 * [backup-simplify]: Simplify (* (exp (/ -1 im)) (+ (* (/ (pow 0 3) 6)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1)))) into 0 0.311 * [backup-simplify]: Simplify (- (+ (* (/ 1 im) (/ 0 im)) (* 0 (/ 0 im)) (* 0 (/ 0 im)))) into 0 0.311 * [backup-simplify]: Simplify (* (exp (/ 1 im)) (+ (* (/ (pow 0 3) 6)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1)))) into 0 0.312 * [backup-simplify]: Simplify (+ 0 0) into 0 0.312 * [backup-simplify]: Simplify (+ (* (+ (exp (/ -1 im)) (exp (/ 1 im))) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (cos (/ -1 re)))))) into 0 0.313 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* 0 0) (+ (* 0 0) (* 0 (* (+ (exp (/ -1 im)) (exp (/ 1 im))) (cos (/ -1 re))))))) into 0 0.313 * [taylor]: Taking taylor expansion of 0 in im 0.313 * [backup-simplify]: Simplify 0 into 0 0.313 * [backup-simplify]: Simplify 0 into 0 0.316 * [backup-simplify]: Simplify (* 0.5 (* (+ (exp (/ -1 (/ 1 (- im)))) (exp (/ 1 (/ 1 (- im))))) (cos (/ -1 (/ 1 (- re)))))) into (* 0.5 (* (+ (exp (* -1 im)) (exp im)) (cos re))) 0.316 * * * * [progress]: [ 2 / 2 ] generating series at (2 2) 0.316 * [backup-simplify]: Simplify (+ (exp (- im)) (exp im)) into (+ (exp im) (exp (- im))) 0.316 * [approximate]: Taking taylor expansion of (+ (exp im) (exp (- im))) in (im) around 0 0.316 * [taylor]: Taking taylor expansion of (+ (exp im) (exp (- im))) in im 0.316 * [taylor]: Taking taylor expansion of (exp im) in im 0.316 * [taylor]: Taking taylor expansion of im in im 0.316 * [backup-simplify]: Simplify 0 into 0 0.316 * [backup-simplify]: Simplify 1 into 1 0.316 * [backup-simplify]: Simplify (exp 0) into 1 0.316 * [taylor]: Taking taylor expansion of (exp (- im)) in im 0.316 * [taylor]: Taking taylor expansion of (- im) in im 0.316 * [taylor]: Taking taylor expansion of im in im 0.316 * [backup-simplify]: Simplify 0 into 0 0.316 * [backup-simplify]: Simplify 1 into 1 0.316 * [backup-simplify]: Simplify (- 0) into 0 0.316 * [backup-simplify]: Simplify (- 1) into -1 0.316 * [backup-simplify]: Simplify (exp 0) into 1 0.317 * [taylor]: Taking taylor expansion of (+ (exp im) (exp (- im))) in im 0.317 * [taylor]: Taking taylor expansion of (exp im) in im 0.317 * [taylor]: Taking taylor expansion of im in im 0.317 * [backup-simplify]: Simplify 0 into 0 0.317 * [backup-simplify]: Simplify 1 into 1 0.317 * [backup-simplify]: Simplify (exp 0) into 1 0.317 * [taylor]: Taking taylor expansion of (exp (- im)) in im 0.317 * [taylor]: Taking taylor expansion of (- im) in im 0.317 * [taylor]: Taking taylor expansion of im in im 0.317 * [backup-simplify]: Simplify 0 into 0 0.317 * [backup-simplify]: Simplify 1 into 1 0.317 * [backup-simplify]: Simplify (- 0) into 0 0.317 * [backup-simplify]: Simplify (- 1) into -1 0.317 * [backup-simplify]: Simplify (exp 0) into 1 0.317 * [backup-simplify]: Simplify (+ 1 1) into 2 0.317 * [backup-simplify]: Simplify 2 into 2 0.318 * [backup-simplify]: Simplify (* (exp 0) (+ (* (/ (pow 1 1) 1)))) into 1 0.318 * [backup-simplify]: Simplify (- 1) into -1 0.319 * [backup-simplify]: Simplify (* (exp 0) (+ (* (/ (pow -1 1) 1)))) into -1 0.319 * [backup-simplify]: Simplify (+ 1 -1) into 0 0.319 * [backup-simplify]: Simplify 0 into 0 0.320 * [backup-simplify]: Simplify (* (exp 0) (+ (* (/ (pow 1 2) 2)) (* (/ (pow 0 1) 1)))) into 1/2 0.320 * [backup-simplify]: Simplify (- 1) into -1 0.320 * [backup-simplify]: Simplify (- 0) into 0 0.321 * [backup-simplify]: Simplify (* (exp 0) (+ (* (/ (pow -1 2) 2)) (* (/ (pow 0 1) 1)))) into 1/2 0.321 * [backup-simplify]: Simplify (+ 1/2 1/2) into 1 0.321 * [backup-simplify]: Simplify 1 into 1 0.322 * [backup-simplify]: Simplify (* (exp 0) (+ (* (/ (pow 1 3) 6)) (* (/ (pow 1 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1)))) into 1/6 0.323 * [backup-simplify]: Simplify (- 1) into -1 0.323 * [backup-simplify]: Simplify (- 1) into -1 0.323 * [backup-simplify]: Simplify (- 0) into 0 0.323 * [backup-simplify]: Simplify (- 0) into 0 0.324 * [backup-simplify]: Simplify (* (exp 0) (+ (* (/ (pow -1 3) 6)) (* (/ (pow -1 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1)))) into -1/6 0.325 * [backup-simplify]: Simplify (+ 1/6 -1/6) into 0 0.325 * [backup-simplify]: Simplify 0 into 0 0.327 * [backup-simplify]: Simplify (* (exp 0) (+ (* (/ (pow 1 4) 24)) (* (/ (pow 1 2) 2) (/ (pow 0 1) 1)) (* (/ (pow 1 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 1/24 0.327 * [backup-simplify]: Simplify (- 1) into -1 0.327 * [backup-simplify]: Simplify (- 1) into -1 0.327 * [backup-simplify]: Simplify (- 0) into 0 0.328 * [backup-simplify]: Simplify (- 1) into -1 0.328 * [backup-simplify]: Simplify (- 0) into 0 0.328 * [backup-simplify]: Simplify (- 0) into 0 0.328 * [backup-simplify]: Simplify (- 0) into 0 0.330 * [backup-simplify]: Simplify (* (exp 0) (+ (* (/ (pow -1 4) 24)) (* (/ (pow -1 2) 2) (/ (pow 0 1) 1)) (* (/ (pow -1 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 1/24 0.330 * [backup-simplify]: Simplify (+ 1/24 1/24) into 1/12 0.330 * [backup-simplify]: Simplify 1/12 into 1/12 0.331 * [backup-simplify]: Simplify (+ (* 1/12 (pow im 4)) (+ (* 1 (pow im 2)) 2)) into (+ (* 1/12 (pow im 4)) (+ (pow im 2) 2)) 0.331 * [backup-simplify]: Simplify (+ (exp (- (/ 1 im))) (exp (/ 1 im))) into (+ (exp (- (/ 1 im))) (exp (/ 1 im))) 0.331 * [approximate]: Taking taylor expansion of (+ (exp (- (/ 1 im))) (exp (/ 1 im))) in (im) around 0 0.331 * [taylor]: Taking taylor expansion of (+ (exp (- (/ 1 im))) (exp (/ 1 im))) in im 0.331 * [taylor]: Taking taylor expansion of (exp (- (/ 1 im))) in im 0.331 * [taylor]: Taking taylor expansion of (- (/ 1 im)) in im 0.331 * [taylor]: Taking taylor expansion of (/ 1 im) in im 0.331 * [taylor]: Taking taylor expansion of im in im 0.331 * [backup-simplify]: Simplify 0 into 0 0.331 * [backup-simplify]: Simplify 1 into 1 0.331 * [backup-simplify]: Simplify (/ 1 1) into 1 0.331 * [backup-simplify]: Simplify (- 1) into -1 0.331 * [backup-simplify]: Simplify (exp (- (/ 1 im))) into (exp (- (/ 1 im))) 0.331 * [taylor]: Taking taylor expansion of (exp (/ 1 im)) in im 0.331 * [taylor]: Taking taylor expansion of (/ 1 im) in im 0.331 * [taylor]: Taking taylor expansion of im in im 0.331 * [backup-simplify]: Simplify 0 into 0 0.331 * [backup-simplify]: Simplify 1 into 1 0.332 * [backup-simplify]: Simplify (/ 1 1) into 1 0.332 * [backup-simplify]: Simplify (exp (/ 1 im)) into (exp (/ 1 im)) 0.332 * [taylor]: Taking taylor expansion of (+ (exp (- (/ 1 im))) (exp (/ 1 im))) in im 0.332 * [taylor]: Taking taylor expansion of (exp (- (/ 1 im))) in im 0.332 * [taylor]: Taking taylor expansion of (- (/ 1 im)) in im 0.332 * [taylor]: Taking taylor expansion of (/ 1 im) in im 0.332 * [taylor]: Taking taylor expansion of im in im 0.332 * [backup-simplify]: Simplify 0 into 0 0.332 * [backup-simplify]: Simplify 1 into 1 0.332 * [backup-simplify]: Simplify (/ 1 1) into 1 0.332 * [backup-simplify]: Simplify (- 1) into -1 0.332 * [backup-simplify]: Simplify (exp (- (/ 1 im))) into (exp (- (/ 1 im))) 0.332 * [taylor]: Taking taylor expansion of (exp (/ 1 im)) in im 0.332 * [taylor]: Taking taylor expansion of (/ 1 im) in im 0.332 * [taylor]: Taking taylor expansion of im in im 0.332 * [backup-simplify]: Simplify 0 into 0 0.332 * [backup-simplify]: Simplify 1 into 1 0.333 * [backup-simplify]: Simplify (/ 1 1) into 1 0.333 * [backup-simplify]: Simplify (exp (/ 1 im)) into (exp (/ 1 im)) 0.333 * [backup-simplify]: Simplify (+ (exp (- (/ 1 im))) (exp (/ 1 im))) into (+ (exp (- (/ 1 im))) (exp (/ 1 im))) 0.333 * [backup-simplify]: Simplify (+ (exp (- (/ 1 im))) (exp (/ 1 im))) into (+ (exp (- (/ 1 im))) (exp (/ 1 im))) 0.333 * [backup-simplify]: Simplify (+ 0 0) into 0 0.333 * [backup-simplify]: Simplify 0 into 0 0.333 * [backup-simplify]: Simplify (+ 0 0) into 0 0.333 * [backup-simplify]: Simplify 0 into 0 0.334 * [backup-simplify]: Simplify (+ 0 0) into 0 0.334 * [backup-simplify]: Simplify 0 into 0 0.334 * [backup-simplify]: Simplify (+ 0 0) into 0 0.334 * [backup-simplify]: Simplify 0 into 0 0.334 * [backup-simplify]: Simplify (+ 0 0) into 0 0.334 * [backup-simplify]: Simplify 0 into 0 0.334 * [backup-simplify]: Simplify (+ 0 0) into 0 0.334 * [backup-simplify]: Simplify 0 into 0 0.335 * [backup-simplify]: Simplify (+ (exp (- (/ 1 (/ 1 im)))) (exp (/ 1 (/ 1 im)))) into (+ (exp im) (exp (- im))) 0.335 * [backup-simplify]: Simplify (+ (exp (- (/ 1 (- im)))) (exp (/ 1 (- im)))) into (+ (exp (/ -1 im)) (exp (/ 1 im))) 0.335 * [approximate]: Taking taylor expansion of (+ (exp (/ -1 im)) (exp (/ 1 im))) in (im) around 0 0.335 * [taylor]: Taking taylor expansion of (+ (exp (/ -1 im)) (exp (/ 1 im))) in im 0.335 * [taylor]: Taking taylor expansion of (exp (/ -1 im)) in im 0.335 * [taylor]: Taking taylor expansion of (/ -1 im) in im 0.335 * [taylor]: Taking taylor expansion of -1 in im 0.335 * [backup-simplify]: Simplify -1 into -1 0.335 * [taylor]: Taking taylor expansion of im in im 0.335 * [backup-simplify]: Simplify 0 into 0 0.335 * [backup-simplify]: Simplify 1 into 1 0.335 * [backup-simplify]: Simplify (/ -1 1) into -1 0.335 * [backup-simplify]: Simplify (exp (/ -1 im)) into (exp (/ -1 im)) 0.335 * [taylor]: Taking taylor expansion of (exp (/ 1 im)) in im 0.335 * [taylor]: Taking taylor expansion of (/ 1 im) in im 0.335 * [taylor]: Taking taylor expansion of im in im 0.335 * [backup-simplify]: Simplify 0 into 0 0.335 * [backup-simplify]: Simplify 1 into 1 0.335 * [backup-simplify]: Simplify (/ 1 1) into 1 0.335 * [backup-simplify]: Simplify (exp (/ 1 im)) into (exp (/ 1 im)) 0.335 * [taylor]: Taking taylor expansion of (+ (exp (/ -1 im)) (exp (/ 1 im))) in im 0.335 * [taylor]: Taking taylor expansion of (exp (/ -1 im)) in im 0.336 * [taylor]: Taking taylor expansion of (/ -1 im) in im 0.336 * [taylor]: Taking taylor expansion of -1 in im 0.336 * [backup-simplify]: Simplify -1 into -1 0.336 * [taylor]: Taking taylor expansion of im in im 0.336 * [backup-simplify]: Simplify 0 into 0 0.336 * [backup-simplify]: Simplify 1 into 1 0.336 * [backup-simplify]: Simplify (/ -1 1) into -1 0.336 * [backup-simplify]: Simplify (exp (/ -1 im)) into (exp (/ -1 im)) 0.336 * [taylor]: Taking taylor expansion of (exp (/ 1 im)) in im 0.336 * [taylor]: Taking taylor expansion of (/ 1 im) in im 0.336 * [taylor]: Taking taylor expansion of im in im 0.336 * [backup-simplify]: Simplify 0 into 0 0.336 * [backup-simplify]: Simplify 1 into 1 0.336 * [backup-simplify]: Simplify (/ 1 1) into 1 0.336 * [backup-simplify]: Simplify (exp (/ 1 im)) into (exp (/ 1 im)) 0.336 * [backup-simplify]: Simplify (+ (exp (/ -1 im)) (exp (/ 1 im))) into (+ (exp (/ -1 im)) (exp (/ 1 im))) 0.336 * [backup-simplify]: Simplify (+ (exp (/ -1 im)) (exp (/ 1 im))) into (+ (exp (/ -1 im)) (exp (/ 1 im))) 0.337 * [backup-simplify]: Simplify (+ 0 0) into 0 0.337 * [backup-simplify]: Simplify 0 into 0 0.337 * [backup-simplify]: Simplify (+ 0 0) into 0 0.337 * [backup-simplify]: Simplify 0 into 0 0.337 * [backup-simplify]: Simplify (+ 0 0) into 0 0.337 * [backup-simplify]: Simplify 0 into 0 0.337 * [backup-simplify]: Simplify (+ 0 0) into 0 0.337 * [backup-simplify]: Simplify 0 into 0 0.338 * [backup-simplify]: Simplify (+ 0 0) into 0 0.338 * [backup-simplify]: Simplify 0 into 0 0.338 * [backup-simplify]: Simplify (+ 0 0) into 0 0.338 * [backup-simplify]: Simplify 0 into 0 0.338 * [backup-simplify]: Simplify (+ (exp (/ -1 (/ 1 (- im)))) (exp (/ 1 (/ 1 (- im))))) into (+ (exp (* -1 im)) (exp im)) 0.338 * * * [progress]: simplifying candidates 0.339 * [simplify]: Simplifying: (expm1 (* (* 0.5 (cos re)) (+ (exp (- im)) (exp im)))) (log1p (* (* 0.5 (cos re)) (+ (exp (- im)) (exp im)))) (* (* 0.5 (cos re)) (+ (exp (- im)) (exp im))) (* (* 0.5 (cos re)) (+ (exp (- im)) (exp im))) (+ (+ (log 0.5) (log (cos re))) (log (+ (exp (- im)) (exp im)))) (+ (log (* 0.5 (cos re))) (log (+ (exp (- im)) (exp im)))) (log (* (* 0.5 (cos re)) (+ (exp (- im)) (exp im)))) (exp (* (* 0.5 (cos re)) (+ (exp (- im)) (exp im)))) (* (* (* (* 0.5 0.5) 0.5) (* (* (cos re) (cos re)) (cos re))) (* (* (+ (exp (- im)) (exp im)) (+ (exp (- im)) (exp im))) (+ (exp (- im)) (exp im)))) (* (* (* (* 0.5 (cos re)) (* 0.5 (cos re))) (* 0.5 (cos re))) (* (* (+ (exp (- im)) (exp im)) (+ (exp (- im)) (exp im))) (+ (exp (- im)) (exp im)))) (* (cbrt (* (* 0.5 (cos re)) (+ (exp (- im)) (exp im)))) (cbrt (* (* 0.5 (cos re)) (+ (exp (- im)) (exp im))))) (cbrt (* (* 0.5 (cos re)) (+ (exp (- im)) (exp im)))) (* (* (* (* 0.5 (cos re)) (+ (exp (- im)) (exp im))) (* (* 0.5 (cos re)) (+ (exp (- im)) (exp im)))) (* (* 0.5 (cos re)) (+ (exp (- im)) (exp im)))) (sqrt (* (* 0.5 (cos re)) (+ (exp (- im)) (exp im)))) (sqrt (* (* 0.5 (cos re)) (+ (exp (- im)) (exp im)))) (* (* 0.5 (cos re)) (exp (- im))) (* (* 0.5 (cos re)) (exp im)) (* (exp (- im)) (* 0.5 (cos re))) (* (exp im) (* 0.5 (cos re))) (* (* 0.5 (cos re)) (* (cbrt (+ (exp (- im)) (exp im))) (cbrt (+ (exp (- im)) (exp im))))) (* (* 0.5 (cos re)) (sqrt (+ (exp (- im)) (exp im)))) (* (* 0.5 (cos re)) 1) (* (* 0.5 (cos re)) 1) (* (cos re) (+ (exp (- im)) (exp im))) (* (* 0.5 (cos re)) (+ (pow (exp (- im)) 3) (pow (exp im) 3))) (* (* 0.5 (cos re)) (- (* (exp (- im)) (exp (- im))) (* (exp im) (exp im)))) (expm1 (+ (exp (- im)) (exp im))) (log1p (+ (exp (- im)) (exp im))) (* (exp (exp (- im))) (exp (exp im))) (log (+ (exp (- im)) (exp im))) (exp (+ (exp (- im)) (exp im))) (* (cbrt (+ (exp (- im)) (exp im))) (cbrt (+ (exp (- im)) (exp im)))) (cbrt (+ (exp (- im)) (exp im))) (* (* (+ (exp (- im)) (exp im)) (+ (exp (- im)) (exp im))) (+ (exp (- im)) (exp im))) (sqrt (+ (exp (- im)) (exp im))) (sqrt (+ (exp (- im)) (exp im))) (+ (pow (exp (- im)) 3) (pow (exp im) 3)) (+ (* (exp (- im)) (exp (- im))) (- (* (exp im) (exp im)) (* (exp (- im)) (exp im)))) (- (* (exp (- im)) (exp (- im))) (* (exp im) (exp im))) (- (exp (- im)) (exp im)) (+ (exp (- im)) (exp im)) (- (+ (* 0.5 (pow im 2)) 1.0) (* 0.5 (pow re 2))) (* 0.5 (* (cos re) (+ (exp im) (exp (- im))))) (* 0.5 (* (+ (exp (* -1 im)) (exp im)) (cos re))) (+ (* 1/12 (pow im 4)) (+ (pow im 2) 2)) (+ (exp im) (exp (- im))) (+ (exp (* -1 im)) (exp im)) 0.339 * [simplify]: Sending expressions to egg_math: (expm1 (* (* h2 (cos h1)) (+ (exp (- h0)) (exp h0)))) (log1p (* (* h2 (cos h1)) (+ (exp (- h0)) (exp h0)))) (* (* h2 (cos h1)) (+ (exp (- h0)) (exp h0))) (* (* h2 (cos h1)) (+ (exp (- h0)) (exp h0))) (+ (+ (log h2) (log (cos h1))) (log (+ (exp (- h0)) (exp h0)))) (+ (log (* h2 (cos h1))) (log (+ (exp (- h0)) (exp h0)))) (log (* (* h2 (cos h1)) (+ (exp (- h0)) (exp h0)))) (exp (* (* h2 (cos h1)) (+ (exp (- h0)) (exp h0)))) (* (* (* (* h2 h2) h2) (* (* (cos h1) (cos h1)) (cos h1))) (* (* (+ (exp (- h0)) (exp h0)) (+ (exp (- h0)) (exp h0))) (+ (exp (- h0)) (exp h0)))) (* (* (* (* h2 (cos h1)) (* h2 (cos h1))) (* h2 (cos h1))) (* (* (+ (exp (- h0)) (exp h0)) (+ (exp (- h0)) (exp h0))) (+ (exp (- h0)) (exp h0)))) (* (cbrt (* (* h2 (cos h1)) (+ (exp (- h0)) (exp h0)))) (cbrt (* (* h2 (cos h1)) (+ (exp (- h0)) (exp h0))))) (cbrt (* (* h2 (cos h1)) (+ (exp (- h0)) (exp h0)))) (* (* (* (* h2 (cos h1)) (+ (exp (- h0)) (exp h0))) (* (* h2 (cos h1)) (+ (exp (- h0)) (exp h0)))) (* (* h2 (cos h1)) (+ (exp (- h0)) (exp h0)))) (sqrt (* (* h2 (cos h1)) (+ (exp (- h0)) (exp h0)))) (sqrt (* (* h2 (cos h1)) (+ (exp (- h0)) (exp h0)))) (* (* h2 (cos h1)) (exp (- h0))) (* (* h2 (cos h1)) (exp h0)) (* (exp (- h0)) (* h2 (cos h1))) (* (exp h0) (* h2 (cos h1))) (* (* h2 (cos h1)) (* (cbrt (+ (exp (- h0)) (exp h0))) (cbrt (+ (exp (- h0)) (exp h0))))) (* (* h2 (cos h1)) (sqrt (+ (exp (- h0)) (exp h0)))) (* (* h2 (cos h1)) 1) (* (* h2 (cos h1)) 1) (* (cos h1) (+ (exp (- h0)) (exp h0))) (* (* h2 (cos h1)) (+ (pow (exp (- h0)) 3) (pow (exp h0) 3))) (* (* h2 (cos h1)) (- (* (exp (- h0)) (exp (- h0))) (* (exp h0) (exp h0)))) (expm1 (+ (exp (- h0)) (exp h0))) (log1p (+ (exp (- h0)) (exp h0))) (* (exp (exp (- h0))) (exp (exp h0))) (log (+ (exp (- h0)) (exp h0))) (exp (+ (exp (- h0)) (exp h0))) (* (cbrt (+ (exp (- h0)) (exp h0))) (cbrt (+ (exp (- h0)) (exp h0)))) (cbrt (+ (exp (- h0)) (exp h0))) (* (* (+ (exp (- h0)) (exp h0)) (+ (exp (- h0)) (exp h0))) (+ (exp (- h0)) (exp h0))) (sqrt (+ (exp (- h0)) (exp h0))) (sqrt (+ (exp (- h0)) (exp h0))) (+ (pow (exp (- h0)) 3) (pow (exp h0) 3)) (+ (* (exp (- h0)) (exp (- h0))) (- (* (exp h0) (exp h0)) (* (exp (- h0)) (exp h0)))) (- (* (exp (- h0)) (exp (- h0))) (* (exp h0) (exp h0))) (- (exp (- h0)) (exp h0)) (+ (exp (- h0)) (exp h0)) (- (+ (* h2 (pow h0 2)) h3) (* h2 (pow h1 2))) (* h2 (* (cos h1) (+ (exp h0) (exp (- h0))))) (* h2 (* (+ (exp (* -1 h0)) (exp h0)) (cos h1))) (+ (* 1/12 (pow h0 4)) (+ (pow h0 2) 2)) (+ (exp h0) (exp (- h0))) (+ (exp (* -1 h0)) (exp h0)) 0.342 * * [simplify]: iteration 0 : 258 enodes (cost 374 ) 0.348 * * [simplify]: iteration 1 : 1276 enodes (cost 311 ) 0.374 * * [simplify]: iteration 2 : 5002 enodes (cost 307 ) 0.376 * * * [progress]: adding candidates to table 0.486 * * [progress]: iteration 2 / 4 0.486 * * * [progress]: picking best candidate 0.491 * * * * [pick]: Picked # 0.492 * * * [progress]: localizing error 0.500 * * * [progress]: generating rewritten candidates 0.500 * * * * [progress]: [ 1 / 3 ] rewriting at (2 1) 0.513 * * * * [progress]: [ 2 / 3 ] rewriting at (2 2) 0.539 * * * * [progress]: [ 3 / 3 ] rewriting at (2) 0.568 * * * [progress]: generating series expansions 0.568 * * * * [progress]: [ 1 / 3 ] generating series at (2 1) 0.568 * [backup-simplify]: Simplify (/ (* 0.5 (cos re)) (exp im)) into (* 0.5 (/ (cos re) (exp im))) 0.568 * [approximate]: Taking taylor expansion of (* 0.5 (/ (cos re) (exp im))) in (re im) around 0 0.568 * [taylor]: Taking taylor expansion of (* 0.5 (/ (cos re) (exp im))) in im 0.568 * [taylor]: Taking taylor expansion of 0.5 in im 0.568 * [backup-simplify]: Simplify 0.5 into 0.5 0.568 * [taylor]: Taking taylor expansion of (/ (cos re) (exp im)) in im 0.568 * [taylor]: Taking taylor expansion of (cos re) in im 0.568 * [taylor]: Taking taylor expansion of re in im 0.568 * [backup-simplify]: Simplify re into re 0.568 * [backup-simplify]: Simplify (cos re) into (cos re) 0.568 * [backup-simplify]: Simplify (sin re) into (sin re) 0.568 * [taylor]: Taking taylor expansion of (exp im) in im 0.568 * [taylor]: Taking taylor expansion of im in im 0.568 * [backup-simplify]: Simplify 0 into 0 0.569 * [backup-simplify]: Simplify 1 into 1 0.569 * [backup-simplify]: Simplify (exp 0) into 1 0.569 * [backup-simplify]: Simplify (* (cos re) 1) into (cos re) 0.569 * [backup-simplify]: Simplify (* (sin re) 0) into 0 0.569 * [backup-simplify]: Simplify (- 0) into 0 0.569 * [backup-simplify]: Simplify (+ (cos re) 0) into (cos re) 0.569 * [backup-simplify]: Simplify (/ (cos re) 1) into (cos re) 0.569 * [taylor]: Taking taylor expansion of (* 0.5 (/ (cos re) (exp im))) in re 0.569 * [taylor]: Taking taylor expansion of 0.5 in re 0.569 * [backup-simplify]: Simplify 0.5 into 0.5 0.569 * [taylor]: Taking taylor expansion of (/ (cos re) (exp im)) in re 0.569 * [taylor]: Taking taylor expansion of (cos re) in re 0.569 * [taylor]: Taking taylor expansion of re in re 0.569 * [backup-simplify]: Simplify 0 into 0 0.569 * [backup-simplify]: Simplify 1 into 1 0.569 * [taylor]: Taking taylor expansion of (exp im) in re 0.569 * [taylor]: Taking taylor expansion of im in re 0.569 * [backup-simplify]: Simplify im into im 0.569 * [backup-simplify]: Simplify (exp im) into (exp im) 0.569 * [backup-simplify]: Simplify (/ 1 (exp im)) into (/ 1 (exp im)) 0.569 * [taylor]: Taking taylor expansion of (* 0.5 (/ (cos re) (exp im))) in re 0.569 * [taylor]: Taking taylor expansion of 0.5 in re 0.570 * [backup-simplify]: Simplify 0.5 into 0.5 0.570 * [taylor]: Taking taylor expansion of (/ (cos re) (exp im)) in re 0.570 * [taylor]: Taking taylor expansion of (cos re) in re 0.570 * [taylor]: Taking taylor expansion of re in re 0.570 * [backup-simplify]: Simplify 0 into 0 0.570 * [backup-simplify]: Simplify 1 into 1 0.570 * [taylor]: Taking taylor expansion of (exp im) in re 0.570 * [taylor]: Taking taylor expansion of im in re 0.570 * [backup-simplify]: Simplify im into im 0.570 * [backup-simplify]: Simplify (exp im) into (exp im) 0.570 * [backup-simplify]: Simplify (/ 1 (exp im)) into (/ 1 (exp im)) 0.570 * [backup-simplify]: Simplify (* 0.5 (/ 1 (exp im))) into (/ 0.5 (exp im)) 0.570 * [taylor]: Taking taylor expansion of (/ 0.5 (exp im)) in im 0.570 * [taylor]: Taking taylor expansion of 0.5 in im 0.570 * [backup-simplify]: Simplify 0.5 into 0.5 0.570 * [taylor]: Taking taylor expansion of (exp im) in im 0.570 * [taylor]: Taking taylor expansion of im in im 0.570 * [backup-simplify]: Simplify 0 into 0 0.570 * [backup-simplify]: Simplify 1 into 1 0.570 * [backup-simplify]: Simplify (exp 0) into 1 0.570 * [backup-simplify]: Simplify (/ 0.5 1) into 0.5 0.570 * [backup-simplify]: Simplify 0.5 into 0.5 0.571 * [backup-simplify]: Simplify (+ 0) into 0 0.571 * [backup-simplify]: Simplify (* (exp im) (+ (* (/ (pow 0 1) 1)))) into 0 0.571 * [backup-simplify]: Simplify (- (/ 0 (exp im)) (+ (* (/ 1 (exp im)) (/ 0 (exp im))))) into 0 0.572 * [backup-simplify]: Simplify (+ (* 0.5 0) (* 0 (/ 1 (exp im)))) into 0 0.572 * [taylor]: Taking taylor expansion of 0 in im 0.572 * [backup-simplify]: Simplify 0 into 0 0.572 * [backup-simplify]: Simplify 0 into 0 0.572 * [backup-simplify]: Simplify (* (exp 0) (+ (* (/ (pow 1 1) 1)))) into 1 0.574 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 0.5 (/ 1 1)))) into (- 0.5) 0.574 * [backup-simplify]: Simplify (- 0.5) into (- 0.5) 0.575 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 1 2) 2)) 0) into -1/2 0.576 * [backup-simplify]: Simplify (* (exp im) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 0.576 * [backup-simplify]: Simplify (- (/ -1/2 (exp im)) (+ (* (/ 1 (exp im)) (/ 0 (exp im))) (* 0 (/ 0 (exp im))))) into (- (* 1/2 (/ 1 (exp im)))) 0.576 * [backup-simplify]: Simplify (+ (* 0.5 (- (* 1/2 (/ 1 (exp im))))) (+ (* 0 0) (* 0 (/ 1 (exp im))))) into (- (* 0.25 (/ 1 (exp im)))) 0.576 * [taylor]: Taking taylor expansion of (- (* 0.25 (/ 1 (exp im)))) in im 0.576 * [taylor]: Taking taylor expansion of (* 0.25 (/ 1 (exp im))) in im 0.576 * [taylor]: Taking taylor expansion of 0.25 in im 0.576 * [backup-simplify]: Simplify 0.25 into 0.25 0.576 * [taylor]: Taking taylor expansion of (/ 1 (exp im)) in im 0.576 * [taylor]: Taking taylor expansion of (exp im) in im 0.576 * [taylor]: Taking taylor expansion of im in im 0.576 * [backup-simplify]: Simplify 0 into 0 0.576 * [backup-simplify]: Simplify 1 into 1 0.576 * [backup-simplify]: Simplify (exp 0) into 1 0.577 * [backup-simplify]: Simplify (/ 1 1) into 1 0.577 * [backup-simplify]: Simplify (* 0.25 1) into 0.25 0.577 * [backup-simplify]: Simplify (- 0.25) into (- 0.25) 0.577 * [backup-simplify]: Simplify (- 0.25) into (- 0.25) 0.578 * [backup-simplify]: Simplify (+ (* (- 0.25) (pow (* 1 re) 2)) (+ (* (- 0.5) (* im 1)) 0.5)) into (- 0.5 (+ (* 0.25 (pow re 2)) (* 0.5 im))) 0.578 * [backup-simplify]: Simplify (/ (* 0.5 (cos (/ 1 re))) (exp (/ 1 im))) into (* 0.5 (/ (cos (/ 1 re)) (exp (/ 1 im)))) 0.578 * [approximate]: Taking taylor expansion of (* 0.5 (/ (cos (/ 1 re)) (exp (/ 1 im)))) in (re im) around 0 0.578 * [taylor]: Taking taylor expansion of (* 0.5 (/ (cos (/ 1 re)) (exp (/ 1 im)))) in im 0.578 * [taylor]: Taking taylor expansion of 0.5 in im 0.578 * [backup-simplify]: Simplify 0.5 into 0.5 0.578 * [taylor]: Taking taylor expansion of (/ (cos (/ 1 re)) (exp (/ 1 im))) in im 0.578 * [taylor]: Taking taylor expansion of (cos (/ 1 re)) in im 0.578 * [taylor]: Taking taylor expansion of (/ 1 re) in im 0.578 * [taylor]: Taking taylor expansion of re in im 0.578 * [backup-simplify]: Simplify re into re 0.578 * [backup-simplify]: Simplify (/ 1 re) into (/ 1 re) 0.578 * [backup-simplify]: Simplify (cos (/ 1 re)) into (cos (/ 1 re)) 0.578 * [backup-simplify]: Simplify (sin (/ 1 re)) into (sin (/ 1 re)) 0.578 * [taylor]: Taking taylor expansion of (exp (/ 1 im)) in im 0.578 * [taylor]: Taking taylor expansion of (/ 1 im) in im 0.578 * [taylor]: Taking taylor expansion of im in im 0.578 * [backup-simplify]: Simplify 0 into 0 0.578 * [backup-simplify]: Simplify 1 into 1 0.579 * [backup-simplify]: Simplify (/ 1 1) into 1 0.579 * [backup-simplify]: Simplify (exp (/ 1 im)) into (exp (/ 1 im)) 0.579 * [backup-simplify]: Simplify (* (cos (/ 1 re)) 1) into (cos (/ 1 re)) 0.579 * [backup-simplify]: Simplify (* (sin (/ 1 re)) 0) into 0 0.579 * [backup-simplify]: Simplify (- 0) into 0 0.579 * [backup-simplify]: Simplify (+ (cos (/ 1 re)) 0) into (cos (/ 1 re)) 0.579 * [backup-simplify]: Simplify (/ (cos (/ 1 re)) (exp (/ 1 im))) into (/ (cos (/ 1 re)) (exp (/ 1 im))) 0.579 * [taylor]: Taking taylor expansion of (* 0.5 (/ (cos (/ 1 re)) (exp (/ 1 im)))) in re 0.579 * [taylor]: Taking taylor expansion of 0.5 in re 0.579 * [backup-simplify]: Simplify 0.5 into 0.5 0.579 * [taylor]: Taking taylor expansion of (/ (cos (/ 1 re)) (exp (/ 1 im))) in re 0.579 * [taylor]: Taking taylor expansion of (cos (/ 1 re)) in re 0.579 * [taylor]: Taking taylor expansion of (/ 1 re) in re 0.579 * [taylor]: Taking taylor expansion of re in re 0.579 * [backup-simplify]: Simplify 0 into 0 0.579 * [backup-simplify]: Simplify 1 into 1 0.579 * [backup-simplify]: Simplify (/ 1 1) into 1 0.580 * [backup-simplify]: Simplify (cos (/ 1 re)) into (cos (/ 1 re)) 0.580 * [taylor]: Taking taylor expansion of (exp (/ 1 im)) in re 0.580 * [taylor]: Taking taylor expansion of (/ 1 im) in re 0.580 * [taylor]: Taking taylor expansion of im in re 0.580 * [backup-simplify]: Simplify im into im 0.580 * [backup-simplify]: Simplify (/ 1 im) into (/ 1 im) 0.580 * [backup-simplify]: Simplify (exp (/ 1 im)) into (exp (/ 1 im)) 0.580 * [backup-simplify]: Simplify (/ (cos (/ 1 re)) (exp (/ 1 im))) into (/ (cos (/ 1 re)) (exp (/ 1 im))) 0.580 * [taylor]: Taking taylor expansion of (* 0.5 (/ (cos (/ 1 re)) (exp (/ 1 im)))) in re 0.580 * [taylor]: Taking taylor expansion of 0.5 in re 0.580 * [backup-simplify]: Simplify 0.5 into 0.5 0.580 * [taylor]: Taking taylor expansion of (/ (cos (/ 1 re)) (exp (/ 1 im))) in re 0.580 * [taylor]: Taking taylor expansion of (cos (/ 1 re)) in re 0.580 * [taylor]: Taking taylor expansion of (/ 1 re) in re 0.580 * [taylor]: Taking taylor expansion of re in re 0.580 * [backup-simplify]: Simplify 0 into 0 0.580 * [backup-simplify]: Simplify 1 into 1 0.580 * [backup-simplify]: Simplify (/ 1 1) into 1 0.580 * [backup-simplify]: Simplify (cos (/ 1 re)) into (cos (/ 1 re)) 0.580 * [taylor]: Taking taylor expansion of (exp (/ 1 im)) in re 0.580 * [taylor]: Taking taylor expansion of (/ 1 im) in re 0.580 * [taylor]: Taking taylor expansion of im in re 0.580 * [backup-simplify]: Simplify im into im 0.580 * [backup-simplify]: Simplify (/ 1 im) into (/ 1 im) 0.580 * [backup-simplify]: Simplify (exp (/ 1 im)) into (exp (/ 1 im)) 0.580 * [backup-simplify]: Simplify (/ (cos (/ 1 re)) (exp (/ 1 im))) into (/ (cos (/ 1 re)) (exp (/ 1 im))) 0.581 * [backup-simplify]: Simplify (* 0.5 (/ (cos (/ 1 re)) (exp (/ 1 im)))) into (* 0.5 (/ (cos (/ 1 re)) (exp (/ 1 im)))) 0.581 * [taylor]: Taking taylor expansion of (* 0.5 (/ (cos (/ 1 re)) (exp (/ 1 im)))) in im 0.581 * [taylor]: Taking taylor expansion of 0.5 in im 0.581 * [backup-simplify]: Simplify 0.5 into 0.5 0.581 * [taylor]: Taking taylor expansion of (/ (cos (/ 1 re)) (exp (/ 1 im))) in im 0.581 * [taylor]: Taking taylor expansion of (cos (/ 1 re)) in im 0.581 * [taylor]: Taking taylor expansion of (/ 1 re) in im 0.581 * [taylor]: Taking taylor expansion of re in im 0.581 * [backup-simplify]: Simplify re into re 0.581 * [backup-simplify]: Simplify (/ 1 re) into (/ 1 re) 0.581 * [backup-simplify]: Simplify (cos (/ 1 re)) into (cos (/ 1 re)) 0.581 * [backup-simplify]: Simplify (sin (/ 1 re)) into (sin (/ 1 re)) 0.581 * [taylor]: Taking taylor expansion of (exp (/ 1 im)) in im 0.581 * [taylor]: Taking taylor expansion of (/ 1 im) in im 0.581 * [taylor]: Taking taylor expansion of im in im 0.581 * [backup-simplify]: Simplify 0 into 0 0.581 * [backup-simplify]: Simplify 1 into 1 0.581 * [backup-simplify]: Simplify (/ 1 1) into 1 0.581 * [backup-simplify]: Simplify (exp (/ 1 im)) into (exp (/ 1 im)) 0.581 * [backup-simplify]: Simplify (* (cos (/ 1 re)) 1) into (cos (/ 1 re)) 0.581 * [backup-simplify]: Simplify (* (sin (/ 1 re)) 0) into 0 0.582 * [backup-simplify]: Simplify (- 0) into 0 0.582 * [backup-simplify]: Simplify (+ (cos (/ 1 re)) 0) into (cos (/ 1 re)) 0.582 * [backup-simplify]: Simplify (/ (cos (/ 1 re)) (exp (/ 1 im))) into (/ (cos (/ 1 re)) (exp (/ 1 im))) 0.582 * [backup-simplify]: Simplify (* 0.5 (/ (cos (/ 1 re)) (exp (/ 1 im)))) into (* 0.5 (/ (cos (/ 1 re)) (exp (/ 1 im)))) 0.582 * [backup-simplify]: Simplify (* 0.5 (/ (cos (/ 1 re)) (exp (/ 1 im)))) into (* 0.5 (/ (cos (/ 1 re)) (exp (/ 1 im)))) 0.582 * [backup-simplify]: Simplify (- (+ (* (/ 1 im) (/ 0 im)))) into 0 0.585 * [backup-simplify]: Simplify (* (exp (/ 1 im)) (+ (* (/ (pow 0 1) 1)))) into 0 0.585 * [backup-simplify]: Simplify (- (/ 0 (exp (/ 1 im))) (+ (* (/ (cos (/ 1 re)) (exp (/ 1 im))) (/ 0 (exp (/ 1 im)))))) into 0 0.586 * [backup-simplify]: Simplify (+ (* 0.5 0) (* 0 (/ (cos (/ 1 re)) (exp (/ 1 im))))) into 0 0.586 * [taylor]: Taking taylor expansion of 0 in im 0.586 * [backup-simplify]: Simplify 0 into 0 0.586 * [backup-simplify]: Simplify 0 into 0 0.586 * [backup-simplify]: Simplify (+ 0) into 0 0.586 * [backup-simplify]: Simplify (+ (* (cos (/ 1 re)) 0) (* 0 1)) into 0 0.586 * [backup-simplify]: Simplify (- (+ (* (/ 1 re) (/ 0 re)))) into 0 0.587 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 0.587 * [backup-simplify]: Simplify (+ (* (sin (/ 1 re)) 0) (* 0 0)) into 0 0.587 * [backup-simplify]: Simplify (- 0) into 0 0.588 * [backup-simplify]: Simplify (+ 0 0) into 0 0.588 * [backup-simplify]: Simplify (- (/ 0 (exp (/ 1 im))) (+ (* (/ (cos (/ 1 re)) (exp (/ 1 im))) (/ 0 (exp (/ 1 im)))))) into 0 0.588 * [backup-simplify]: Simplify (+ (* 0.5 0) (* 0 (/ (cos (/ 1 re)) (exp (/ 1 im))))) into 0 0.588 * [backup-simplify]: Simplify 0 into 0 0.588 * [backup-simplify]: Simplify (- (+ (* (/ 1 im) (/ 0 im)) (* 0 (/ 0 im)))) into 0 0.589 * [backup-simplify]: Simplify (* (exp (/ 1 im)) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 0.589 * [backup-simplify]: Simplify (- (/ 0 (exp (/ 1 im))) (+ (* (/ (cos (/ 1 re)) (exp (/ 1 im))) (/ 0 (exp (/ 1 im)))) (* 0 (/ 0 (exp (/ 1 im)))))) into 0 0.590 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* 0 0) (* 0 (/ (cos (/ 1 re)) (exp (/ 1 im)))))) into 0 0.590 * [taylor]: Taking taylor expansion of 0 in im 0.590 * [backup-simplify]: Simplify 0 into 0 0.590 * [backup-simplify]: Simplify 0 into 0 0.590 * [backup-simplify]: Simplify 0 into 0 0.590 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0 0.591 * [backup-simplify]: Simplify (+ (* (cos (/ 1 re)) 0) (+ (* 0 0) (* 0 1))) into 0 0.591 * [backup-simplify]: Simplify (- (+ (* (/ 1 re) (/ 0 re)) (* 0 (/ 0 re)))) into 0 0.591 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 0.592 * [backup-simplify]: Simplify (+ (* (sin (/ 1 re)) 0) (+ (* 0 0) (* 0 0))) into 0 0.592 * [backup-simplify]: Simplify (- 0) into 0 0.592 * [backup-simplify]: Simplify (+ 0 0) into 0 0.592 * [backup-simplify]: Simplify (- (/ 0 (exp (/ 1 im))) (+ (* (/ (cos (/ 1 re)) (exp (/ 1 im))) (/ 0 (exp (/ 1 im)))) (* 0 (/ 0 (exp (/ 1 im)))))) into 0 0.593 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* 0 0) (* 0 (/ (cos (/ 1 re)) (exp (/ 1 im)))))) into 0 0.593 * [backup-simplify]: Simplify 0 into 0 0.593 * [backup-simplify]: Simplify (- (+ (* (/ 1 im) (/ 0 im)) (* 0 (/ 0 im)) (* 0 (/ 0 im)))) into 0 0.594 * [backup-simplify]: Simplify (* (exp (/ 1 im)) (+ (* (/ (pow 0 3) 6)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1)))) into 0 0.594 * [backup-simplify]: Simplify (- (/ 0 (exp (/ 1 im))) (+ (* (/ (cos (/ 1 re)) (exp (/ 1 im))) (/ 0 (exp (/ 1 im)))) (* 0 (/ 0 (exp (/ 1 im)))) (* 0 (/ 0 (exp (/ 1 im)))))) into 0 0.595 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ (cos (/ 1 re)) (exp (/ 1 im))))))) into 0 0.595 * [taylor]: Taking taylor expansion of 0 in im 0.595 * [backup-simplify]: Simplify 0 into 0 0.595 * [backup-simplify]: Simplify 0 into 0 0.595 * [backup-simplify]: Simplify (* 0.5 (/ (cos (/ 1 (/ 1 re))) (exp (/ 1 (/ 1 im))))) into (* 0.5 (/ (cos re) (exp im))) 0.595 * [backup-simplify]: Simplify (/ (* 0.5 (cos (/ 1 (- re)))) (exp (/ 1 (- im)))) into (* 0.5 (/ (cos (/ -1 re)) (exp (/ -1 im)))) 0.595 * [approximate]: Taking taylor expansion of (* 0.5 (/ (cos (/ -1 re)) (exp (/ -1 im)))) in (re im) around 0 0.595 * [taylor]: Taking taylor expansion of (* 0.5 (/ (cos (/ -1 re)) (exp (/ -1 im)))) in im 0.595 * [taylor]: Taking taylor expansion of 0.5 in im 0.595 * [backup-simplify]: Simplify 0.5 into 0.5 0.595 * [taylor]: Taking taylor expansion of (/ (cos (/ -1 re)) (exp (/ -1 im))) in im 0.595 * [taylor]: Taking taylor expansion of (cos (/ -1 re)) in im 0.595 * [taylor]: Taking taylor expansion of (/ -1 re) in im 0.595 * [taylor]: Taking taylor expansion of -1 in im 0.595 * [backup-simplify]: Simplify -1 into -1 0.595 * [taylor]: Taking taylor expansion of re in im 0.595 * [backup-simplify]: Simplify re into re 0.595 * [backup-simplify]: Simplify (/ -1 re) into (/ -1 re) 0.595 * [backup-simplify]: Simplify (cos (/ -1 re)) into (cos (/ -1 re)) 0.596 * [backup-simplify]: Simplify (sin (/ -1 re)) into (sin (/ -1 re)) 0.596 * [taylor]: Taking taylor expansion of (exp (/ -1 im)) in im 0.596 * [taylor]: Taking taylor expansion of (/ -1 im) in im 0.596 * [taylor]: Taking taylor expansion of -1 in im 0.596 * [backup-simplify]: Simplify -1 into -1 0.596 * [taylor]: Taking taylor expansion of im in im 0.596 * [backup-simplify]: Simplify 0 into 0 0.596 * [backup-simplify]: Simplify 1 into 1 0.596 * [backup-simplify]: Simplify (/ -1 1) into -1 0.596 * [backup-simplify]: Simplify (exp (/ -1 im)) into (exp (/ -1 im)) 0.596 * [backup-simplify]: Simplify (* (cos (/ -1 re)) 1) into (cos (/ -1 re)) 0.596 * [backup-simplify]: Simplify (* (sin (/ -1 re)) 0) into 0 0.596 * [backup-simplify]: Simplify (- 0) into 0 0.596 * [backup-simplify]: Simplify (+ (cos (/ -1 re)) 0) into (cos (/ -1 re)) 0.596 * [backup-simplify]: Simplify (/ (cos (/ -1 re)) (exp (/ -1 im))) into (/ (cos (/ -1 re)) (exp (/ -1 im))) 0.596 * [taylor]: Taking taylor expansion of (* 0.5 (/ (cos (/ -1 re)) (exp (/ -1 im)))) in re 0.596 * [taylor]: Taking taylor expansion of 0.5 in re 0.596 * [backup-simplify]: Simplify 0.5 into 0.5 0.597 * [taylor]: Taking taylor expansion of (/ (cos (/ -1 re)) (exp (/ -1 im))) in re 0.597 * [taylor]: Taking taylor expansion of (cos (/ -1 re)) in re 0.597 * [taylor]: Taking taylor expansion of (/ -1 re) in re 0.597 * [taylor]: Taking taylor expansion of -1 in re 0.597 * [backup-simplify]: Simplify -1 into -1 0.597 * [taylor]: Taking taylor expansion of re in re 0.597 * [backup-simplify]: Simplify 0 into 0 0.597 * [backup-simplify]: Simplify 1 into 1 0.597 * [backup-simplify]: Simplify (/ -1 1) into -1 0.597 * [backup-simplify]: Simplify (cos (/ -1 re)) into (cos (/ -1 re)) 0.597 * [taylor]: Taking taylor expansion of (exp (/ -1 im)) in re 0.597 * [taylor]: Taking taylor expansion of (/ -1 im) in re 0.597 * [taylor]: Taking taylor expansion of -1 in re 0.597 * [backup-simplify]: Simplify -1 into -1 0.597 * [taylor]: Taking taylor expansion of im in re 0.597 * [backup-simplify]: Simplify im into im 0.597 * [backup-simplify]: Simplify (/ -1 im) into (/ -1 im) 0.597 * [backup-simplify]: Simplify (exp (/ -1 im)) into (exp (/ -1 im)) 0.597 * [backup-simplify]: Simplify (/ (cos (/ -1 re)) (exp (/ -1 im))) into (/ (cos (/ -1 re)) (exp (/ -1 im))) 0.597 * [taylor]: Taking taylor expansion of (* 0.5 (/ (cos (/ -1 re)) (exp (/ -1 im)))) in re 0.597 * [taylor]: Taking taylor expansion of 0.5 in re 0.597 * [backup-simplify]: Simplify 0.5 into 0.5 0.597 * [taylor]: Taking taylor expansion of (/ (cos (/ -1 re)) (exp (/ -1 im))) in re 0.597 * [taylor]: Taking taylor expansion of (cos (/ -1 re)) in re 0.597 * [taylor]: Taking taylor expansion of (/ -1 re) in re 0.597 * [taylor]: Taking taylor expansion of -1 in re 0.597 * [backup-simplify]: Simplify -1 into -1 0.597 * [taylor]: Taking taylor expansion of re in re 0.597 * [backup-simplify]: Simplify 0 into 0 0.597 * [backup-simplify]: Simplify 1 into 1 0.598 * [backup-simplify]: Simplify (/ -1 1) into -1 0.598 * [backup-simplify]: Simplify (cos (/ -1 re)) into (cos (/ -1 re)) 0.598 * [taylor]: Taking taylor expansion of (exp (/ -1 im)) in re 0.598 * [taylor]: Taking taylor expansion of (/ -1 im) in re 0.598 * [taylor]: Taking taylor expansion of -1 in re 0.598 * [backup-simplify]: Simplify -1 into -1 0.598 * [taylor]: Taking taylor expansion of im in re 0.598 * [backup-simplify]: Simplify im into im 0.598 * [backup-simplify]: Simplify (/ -1 im) into (/ -1 im) 0.598 * [backup-simplify]: Simplify (exp (/ -1 im)) into (exp (/ -1 im)) 0.598 * [backup-simplify]: Simplify (/ (cos (/ -1 re)) (exp (/ -1 im))) into (/ (cos (/ -1 re)) (exp (/ -1 im))) 0.598 * [backup-simplify]: Simplify (* 0.5 (/ (cos (/ -1 re)) (exp (/ -1 im)))) into (* 0.5 (/ (cos (/ -1 re)) (exp (/ -1 im)))) 0.598 * [taylor]: Taking taylor expansion of (* 0.5 (/ (cos (/ -1 re)) (exp (/ -1 im)))) in im 0.598 * [taylor]: Taking taylor expansion of 0.5 in im 0.598 * [backup-simplify]: Simplify 0.5 into 0.5 0.598 * [taylor]: Taking taylor expansion of (/ (cos (/ -1 re)) (exp (/ -1 im))) in im 0.598 * [taylor]: Taking taylor expansion of (cos (/ -1 re)) in im 0.598 * [taylor]: Taking taylor expansion of (/ -1 re) in im 0.598 * [taylor]: Taking taylor expansion of -1 in im 0.598 * [backup-simplify]: Simplify -1 into -1 0.598 * [taylor]: Taking taylor expansion of re in im 0.598 * [backup-simplify]: Simplify re into re 0.598 * [backup-simplify]: Simplify (/ -1 re) into (/ -1 re) 0.598 * [backup-simplify]: Simplify (cos (/ -1 re)) into (cos (/ -1 re)) 0.598 * [backup-simplify]: Simplify (sin (/ -1 re)) into (sin (/ -1 re)) 0.598 * [taylor]: Taking taylor expansion of (exp (/ -1 im)) in im 0.598 * [taylor]: Taking taylor expansion of (/ -1 im) in im 0.598 * [taylor]: Taking taylor expansion of -1 in im 0.598 * [backup-simplify]: Simplify -1 into -1 0.598 * [taylor]: Taking taylor expansion of im in im 0.598 * [backup-simplify]: Simplify 0 into 0 0.598 * [backup-simplify]: Simplify 1 into 1 0.599 * [backup-simplify]: Simplify (/ -1 1) into -1 0.599 * [backup-simplify]: Simplify (exp (/ -1 im)) into (exp (/ -1 im)) 0.599 * [backup-simplify]: Simplify (* (cos (/ -1 re)) 1) into (cos (/ -1 re)) 0.599 * [backup-simplify]: Simplify (* (sin (/ -1 re)) 0) into 0 0.599 * [backup-simplify]: Simplify (- 0) into 0 0.599 * [backup-simplify]: Simplify (+ (cos (/ -1 re)) 0) into (cos (/ -1 re)) 0.599 * [backup-simplify]: Simplify (/ (cos (/ -1 re)) (exp (/ -1 im))) into (/ (cos (/ -1 re)) (exp (/ -1 im))) 0.599 * [backup-simplify]: Simplify (* 0.5 (/ (cos (/ -1 re)) (exp (/ -1 im)))) into (* 0.5 (/ (cos (/ -1 re)) (exp (/ -1 im)))) 0.600 * [backup-simplify]: Simplify (* 0.5 (/ (cos (/ -1 re)) (exp (/ -1 im)))) into (* 0.5 (/ (cos (/ -1 re)) (exp (/ -1 im)))) 0.600 * [backup-simplify]: Simplify (- (/ 0 im) (+ (* (/ -1 im) (/ 0 im)))) into 0 0.600 * [backup-simplify]: Simplify (* (exp (/ -1 im)) (+ (* (/ (pow 0 1) 1)))) into 0 0.600 * [backup-simplify]: Simplify (- (/ 0 (exp (/ -1 im))) (+ (* (/ (cos (/ -1 re)) (exp (/ -1 im))) (/ 0 (exp (/ -1 im)))))) into 0 0.601 * [backup-simplify]: Simplify (+ (* 0.5 0) (* 0 (/ (cos (/ -1 re)) (exp (/ -1 im))))) into 0 0.601 * [taylor]: Taking taylor expansion of 0 in im 0.601 * [backup-simplify]: Simplify 0 into 0 0.601 * [backup-simplify]: Simplify 0 into 0 0.601 * [backup-simplify]: Simplify (+ 0) into 0 0.601 * [backup-simplify]: Simplify (+ (* (cos (/ -1 re)) 0) (* 0 1)) into 0 0.601 * [backup-simplify]: Simplify (- (/ 0 re) (+ (* (/ -1 re) (/ 0 re)))) into 0 0.602 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 0.602 * [backup-simplify]: Simplify (+ (* (sin (/ -1 re)) 0) (* 0 0)) into 0 0.602 * [backup-simplify]: Simplify (- 0) into 0 0.602 * [backup-simplify]: Simplify (+ 0 0) into 0 0.603 * [backup-simplify]: Simplify (- (/ 0 (exp (/ -1 im))) (+ (* (/ (cos (/ -1 re)) (exp (/ -1 im))) (/ 0 (exp (/ -1 im)))))) into 0 0.603 * [backup-simplify]: Simplify (+ (* 0.5 0) (* 0 (/ (cos (/ -1 re)) (exp (/ -1 im))))) into 0 0.603 * [backup-simplify]: Simplify 0 into 0 0.603 * [backup-simplify]: Simplify (- (/ 0 im) (+ (* (/ -1 im) (/ 0 im)) (* 0 (/ 0 im)))) into 0 0.604 * [backup-simplify]: Simplify (* (exp (/ -1 im)) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 0.604 * [backup-simplify]: Simplify (- (/ 0 (exp (/ -1 im))) (+ (* (/ (cos (/ -1 re)) (exp (/ -1 im))) (/ 0 (exp (/ -1 im)))) (* 0 (/ 0 (exp (/ -1 im)))))) into 0 0.605 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* 0 0) (* 0 (/ (cos (/ -1 re)) (exp (/ -1 im)))))) into 0 0.605 * [taylor]: Taking taylor expansion of 0 in im 0.605 * [backup-simplify]: Simplify 0 into 0 0.605 * [backup-simplify]: Simplify 0 into 0 0.605 * [backup-simplify]: Simplify 0 into 0 0.605 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0 0.606 * [backup-simplify]: Simplify (+ (* (cos (/ -1 re)) 0) (+ (* 0 0) (* 0 1))) into 0 0.606 * [backup-simplify]: Simplify (- (/ 0 re) (+ (* (/ -1 re) (/ 0 re)) (* 0 (/ 0 re)))) into 0 0.606 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 0.606 * [backup-simplify]: Simplify (+ (* (sin (/ -1 re)) 0) (+ (* 0 0) (* 0 0))) into 0 0.607 * [backup-simplify]: Simplify (- 0) into 0 0.607 * [backup-simplify]: Simplify (+ 0 0) into 0 0.607 * [backup-simplify]: Simplify (- (/ 0 (exp (/ -1 im))) (+ (* (/ (cos (/ -1 re)) (exp (/ -1 im))) (/ 0 (exp (/ -1 im)))) (* 0 (/ 0 (exp (/ -1 im)))))) into 0 0.608 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* 0 0) (* 0 (/ (cos (/ -1 re)) (exp (/ -1 im)))))) into 0 0.608 * [backup-simplify]: Simplify 0 into 0 0.608 * [backup-simplify]: Simplify (- (/ 0 im) (+ (* (/ -1 im) (/ 0 im)) (* 0 (/ 0 im)) (* 0 (/ 0 im)))) into 0 0.609 * [backup-simplify]: Simplify (* (exp (/ -1 im)) (+ (* (/ (pow 0 3) 6)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1)))) into 0 0.609 * [backup-simplify]: Simplify (- (/ 0 (exp (/ -1 im))) (+ (* (/ (cos (/ -1 re)) (exp (/ -1 im))) (/ 0 (exp (/ -1 im)))) (* 0 (/ 0 (exp (/ -1 im)))) (* 0 (/ 0 (exp (/ -1 im)))))) into 0 0.610 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ (cos (/ -1 re)) (exp (/ -1 im))))))) into 0 0.610 * [taylor]: Taking taylor expansion of 0 in im 0.610 * [backup-simplify]: Simplify 0 into 0 0.610 * [backup-simplify]: Simplify 0 into 0 0.610 * [backup-simplify]: Simplify (* 0.5 (/ (cos (/ -1 (/ 1 (- re)))) (exp (/ -1 (/ 1 (- im)))))) into (* 0.5 (/ (cos re) (exp im))) 0.610 * * * * [progress]: [ 2 / 3 ] generating series at (2 2) 0.610 * [backup-simplify]: Simplify (* (* 0.5 (cos re)) (exp im)) into (* 0.5 (* (exp im) (cos re))) 0.610 * [approximate]: Taking taylor expansion of (* 0.5 (* (exp im) (cos re))) in (re im) around 0 0.610 * [taylor]: Taking taylor expansion of (* 0.5 (* (exp im) (cos re))) in im 0.610 * [taylor]: Taking taylor expansion of 0.5 in im 0.610 * [backup-simplify]: Simplify 0.5 into 0.5 0.610 * [taylor]: Taking taylor expansion of (* (exp im) (cos re)) in im 0.610 * [taylor]: Taking taylor expansion of (exp im) in im 0.610 * [taylor]: Taking taylor expansion of im in im 0.610 * [backup-simplify]: Simplify 0 into 0 0.610 * [backup-simplify]: Simplify 1 into 1 0.610 * [backup-simplify]: Simplify (exp 0) into 1 0.610 * [taylor]: Taking taylor expansion of (cos re) in im 0.610 * [taylor]: Taking taylor expansion of re in im 0.610 * [backup-simplify]: Simplify re into re 0.610 * [backup-simplify]: Simplify (cos re) into (cos re) 0.610 * [backup-simplify]: Simplify (sin re) into (sin re) 0.611 * [taylor]: Taking taylor expansion of (* 0.5 (* (exp im) (cos re))) in re 0.611 * [taylor]: Taking taylor expansion of 0.5 in re 0.611 * [backup-simplify]: Simplify 0.5 into 0.5 0.611 * [taylor]: Taking taylor expansion of (* (exp im) (cos re)) in re 0.611 * [taylor]: Taking taylor expansion of (exp im) in re 0.611 * [taylor]: Taking taylor expansion of im in re 0.611 * [backup-simplify]: Simplify im into im 0.611 * [backup-simplify]: Simplify (exp im) into (exp im) 0.611 * [taylor]: Taking taylor expansion of (cos re) in re 0.611 * [taylor]: Taking taylor expansion of re in re 0.611 * [backup-simplify]: Simplify 0 into 0 0.611 * [backup-simplify]: Simplify 1 into 1 0.611 * [taylor]: Taking taylor expansion of (* 0.5 (* (exp im) (cos re))) in re 0.611 * [taylor]: Taking taylor expansion of 0.5 in re 0.611 * [backup-simplify]: Simplify 0.5 into 0.5 0.611 * [taylor]: Taking taylor expansion of (* (exp im) (cos re)) in re 0.611 * [taylor]: Taking taylor expansion of (exp im) in re 0.611 * [taylor]: Taking taylor expansion of im in re 0.611 * [backup-simplify]: Simplify im into im 0.611 * [backup-simplify]: Simplify (exp im) into (exp im) 0.611 * [taylor]: Taking taylor expansion of (cos re) in re 0.611 * [taylor]: Taking taylor expansion of re in re 0.611 * [backup-simplify]: Simplify 0 into 0 0.611 * [backup-simplify]: Simplify 1 into 1 0.611 * [backup-simplify]: Simplify (* (exp im) 1) into (exp im) 0.611 * [backup-simplify]: Simplify (* 0.5 (exp im)) into (* 0.5 (exp im)) 0.611 * [taylor]: Taking taylor expansion of (* 0.5 (exp im)) in im 0.611 * [taylor]: Taking taylor expansion of 0.5 in im 0.611 * [backup-simplify]: Simplify 0.5 into 0.5 0.611 * [taylor]: Taking taylor expansion of (exp im) in im 0.611 * [taylor]: Taking taylor expansion of im in im 0.611 * [backup-simplify]: Simplify 0 into 0 0.611 * [backup-simplify]: Simplify 1 into 1 0.611 * [backup-simplify]: Simplify (exp 0) into 1 0.612 * [backup-simplify]: Simplify (* 0.5 1) into 0.5 0.612 * [backup-simplify]: Simplify 0.5 into 0.5 0.612 * [backup-simplify]: Simplify (+ 0) into 0 0.612 * [backup-simplify]: Simplify (* (exp im) (+ (* (/ (pow 0 1) 1)))) into 0 0.613 * [backup-simplify]: Simplify (+ (* (exp im) 0) (* 0 1)) into 0 0.613 * [backup-simplify]: Simplify (+ (* 0.5 0) (* 0 (exp im))) into 0 0.613 * [taylor]: Taking taylor expansion of 0 in im 0.613 * [backup-simplify]: Simplify 0 into 0 0.613 * [backup-simplify]: Simplify 0 into 0 0.613 * [backup-simplify]: Simplify (* (exp 0) (+ (* (/ (pow 1 1) 1)))) into 1 0.614 * [backup-simplify]: Simplify (+ (* 0.5 1) (* 0 1)) into 0.5 0.614 * [backup-simplify]: Simplify 0.5 into 0.5 0.615 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 1 2) 2)) 0) into -1/2 0.616 * [backup-simplify]: Simplify (* (exp im) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 0.616 * [backup-simplify]: Simplify (+ (* (exp im) -1/2) (+ (* 0 0) (* 0 1))) into (- (* 1/2 (exp im))) 0.616 * [backup-simplify]: Simplify (+ (* 0.5 (- (* 1/2 (exp im)))) (+ (* 0 0) (* 0 (exp im)))) into (- (* 0.25 (exp im))) 0.616 * [taylor]: Taking taylor expansion of (- (* 0.25 (exp im))) in im 0.616 * [taylor]: Taking taylor expansion of (* 0.25 (exp im)) in im 0.616 * [taylor]: Taking taylor expansion of 0.25 in im 0.616 * [backup-simplify]: Simplify 0.25 into 0.25 0.616 * [taylor]: Taking taylor expansion of (exp im) in im 0.616 * [taylor]: Taking taylor expansion of im in im 0.616 * [backup-simplify]: Simplify 0 into 0 0.616 * [backup-simplify]: Simplify 1 into 1 0.616 * [backup-simplify]: Simplify (exp 0) into 1 0.617 * [backup-simplify]: Simplify (* 0.25 1) into 0.25 0.617 * [backup-simplify]: Simplify (- 0.25) into (- 0.25) 0.617 * [backup-simplify]: Simplify (- 0.25) into (- 0.25) 0.618 * [backup-simplify]: Simplify (+ (* (- 0.25) (pow (* 1 re) 2)) (+ (* 0.5 (* im 1)) 0.5)) into (- (+ (* 0.5 im) 0.5) (* 0.25 (pow re 2))) 0.618 * [backup-simplify]: Simplify (* (* 0.5 (cos (/ 1 re))) (exp (/ 1 im))) into (* 0.5 (* (cos (/ 1 re)) (exp (/ 1 im)))) 0.618 * [approximate]: Taking taylor expansion of (* 0.5 (* (cos (/ 1 re)) (exp (/ 1 im)))) in (re im) around 0 0.618 * [taylor]: Taking taylor expansion of (* 0.5 (* (cos (/ 1 re)) (exp (/ 1 im)))) in im 0.618 * [taylor]: Taking taylor expansion of 0.5 in im 0.618 * [backup-simplify]: Simplify 0.5 into 0.5 0.618 * [taylor]: Taking taylor expansion of (* (cos (/ 1 re)) (exp (/ 1 im))) in im 0.618 * [taylor]: Taking taylor expansion of (cos (/ 1 re)) in im 0.618 * [taylor]: Taking taylor expansion of (/ 1 re) in im 0.618 * [taylor]: Taking taylor expansion of re in im 0.618 * [backup-simplify]: Simplify re into re 0.618 * [backup-simplify]: Simplify (/ 1 re) into (/ 1 re) 0.618 * [backup-simplify]: Simplify (cos (/ 1 re)) into (cos (/ 1 re)) 0.618 * [backup-simplify]: Simplify (sin (/ 1 re)) into (sin (/ 1 re)) 0.618 * [taylor]: Taking taylor expansion of (exp (/ 1 im)) in im 0.618 * [taylor]: Taking taylor expansion of (/ 1 im) in im 0.618 * [taylor]: Taking taylor expansion of im in im 0.618 * [backup-simplify]: Simplify 0 into 0 0.618 * [backup-simplify]: Simplify 1 into 1 0.618 * [backup-simplify]: Simplify (/ 1 1) into 1 0.618 * [backup-simplify]: Simplify (exp (/ 1 im)) into (exp (/ 1 im)) 0.618 * [taylor]: Taking taylor expansion of (* 0.5 (* (cos (/ 1 re)) (exp (/ 1 im)))) in re 0.618 * [taylor]: Taking taylor expansion of 0.5 in re 0.618 * [backup-simplify]: Simplify 0.5 into 0.5 0.618 * [taylor]: Taking taylor expansion of (* (cos (/ 1 re)) (exp (/ 1 im))) in re 0.618 * [taylor]: Taking taylor expansion of (cos (/ 1 re)) in re 0.618 * [taylor]: Taking taylor expansion of (/ 1 re) in re 0.618 * [taylor]: Taking taylor expansion of re in re 0.618 * [backup-simplify]: Simplify 0 into 0 0.618 * [backup-simplify]: Simplify 1 into 1 0.619 * [backup-simplify]: Simplify (/ 1 1) into 1 0.619 * [backup-simplify]: Simplify (cos (/ 1 re)) into (cos (/ 1 re)) 0.619 * [taylor]: Taking taylor expansion of (exp (/ 1 im)) in re 0.619 * [taylor]: Taking taylor expansion of (/ 1 im) in re 0.619 * [taylor]: Taking taylor expansion of im in re 0.619 * [backup-simplify]: Simplify im into im 0.619 * [backup-simplify]: Simplify (/ 1 im) into (/ 1 im) 0.619 * [backup-simplify]: Simplify (exp (/ 1 im)) into (exp (/ 1 im)) 0.619 * [taylor]: Taking taylor expansion of (* 0.5 (* (cos (/ 1 re)) (exp (/ 1 im)))) in re 0.619 * [taylor]: Taking taylor expansion of 0.5 in re 0.619 * [backup-simplify]: Simplify 0.5 into 0.5 0.619 * [taylor]: Taking taylor expansion of (* (cos (/ 1 re)) (exp (/ 1 im))) in re 0.619 * [taylor]: Taking taylor expansion of (cos (/ 1 re)) in re 0.619 * [taylor]: Taking taylor expansion of (/ 1 re) in re 0.619 * [taylor]: Taking taylor expansion of re in re 0.619 * [backup-simplify]: Simplify 0 into 0 0.619 * [backup-simplify]: Simplify 1 into 1 0.619 * [backup-simplify]: Simplify (/ 1 1) into 1 0.619 * [backup-simplify]: Simplify (cos (/ 1 re)) into (cos (/ 1 re)) 0.619 * [taylor]: Taking taylor expansion of (exp (/ 1 im)) in re 0.619 * [taylor]: Taking taylor expansion of (/ 1 im) in re 0.619 * [taylor]: Taking taylor expansion of im in re 0.619 * [backup-simplify]: Simplify im into im 0.619 * [backup-simplify]: Simplify (/ 1 im) into (/ 1 im) 0.619 * [backup-simplify]: Simplify (exp (/ 1 im)) into (exp (/ 1 im)) 0.620 * [backup-simplify]: Simplify (* (cos (/ 1 re)) (exp (/ 1 im))) into (* (cos (/ 1 re)) (exp (/ 1 im))) 0.620 * [backup-simplify]: Simplify (* 0.5 (* (cos (/ 1 re)) (exp (/ 1 im)))) into (* 0.5 (* (cos (/ 1 re)) (exp (/ 1 im)))) 0.620 * [taylor]: Taking taylor expansion of (* 0.5 (* (cos (/ 1 re)) (exp (/ 1 im)))) in im 0.620 * [taylor]: Taking taylor expansion of 0.5 in im 0.620 * [backup-simplify]: Simplify 0.5 into 0.5 0.620 * [taylor]: Taking taylor expansion of (* (cos (/ 1 re)) (exp (/ 1 im))) in im 0.620 * [taylor]: Taking taylor expansion of (cos (/ 1 re)) in im 0.620 * [taylor]: Taking taylor expansion of (/ 1 re) in im 0.620 * [taylor]: Taking taylor expansion of re in im 0.620 * [backup-simplify]: Simplify re into re 0.620 * [backup-simplify]: Simplify (/ 1 re) into (/ 1 re) 0.620 * [backup-simplify]: Simplify (cos (/ 1 re)) into (cos (/ 1 re)) 0.620 * [backup-simplify]: Simplify (sin (/ 1 re)) into (sin (/ 1 re)) 0.620 * [taylor]: Taking taylor expansion of (exp (/ 1 im)) in im 0.620 * [taylor]: Taking taylor expansion of (/ 1 im) in im 0.620 * [taylor]: Taking taylor expansion of im in im 0.620 * [backup-simplify]: Simplify 0 into 0 0.620 * [backup-simplify]: Simplify 1 into 1 0.620 * [backup-simplify]: Simplify (/ 1 1) into 1 0.620 * [backup-simplify]: Simplify (exp (/ 1 im)) into (exp (/ 1 im)) 0.620 * [backup-simplify]: Simplify (* (cos (/ 1 re)) 1) into (cos (/ 1 re)) 0.620 * [backup-simplify]: Simplify (* (sin (/ 1 re)) 0) into 0 0.621 * [backup-simplify]: Simplify (- 0) into 0 0.621 * [backup-simplify]: Simplify (+ (cos (/ 1 re)) 0) into (cos (/ 1 re)) 0.621 * [backup-simplify]: Simplify (* (cos (/ 1 re)) (exp (/ 1 im))) into (* (cos (/ 1 re)) (exp (/ 1 im))) 0.621 * [backup-simplify]: Simplify (* 0.5 (* (cos (/ 1 re)) (exp (/ 1 im)))) into (* 0.5 (* (cos (/ 1 re)) (exp (/ 1 im)))) 0.621 * [backup-simplify]: Simplify (* 0.5 (* (cos (/ 1 re)) (exp (/ 1 im)))) into (* 0.5 (* (cos (/ 1 re)) (exp (/ 1 im)))) 0.621 * [backup-simplify]: Simplify (- (+ (* (/ 1 im) (/ 0 im)))) into 0 0.622 * [backup-simplify]: Simplify (* (exp (/ 1 im)) (+ (* (/ (pow 0 1) 1)))) into 0 0.622 * [backup-simplify]: Simplify (+ (* (cos (/ 1 re)) 0) (* 0 (exp (/ 1 im)))) into 0 0.622 * [backup-simplify]: Simplify (+ (* 0.5 0) (* 0 (* (cos (/ 1 re)) (exp (/ 1 im))))) into 0 0.622 * [taylor]: Taking taylor expansion of 0 in im 0.622 * [backup-simplify]: Simplify 0 into 0 0.622 * [backup-simplify]: Simplify 0 into 0 0.622 * [backup-simplify]: Simplify (+ 0) into 0 0.623 * [backup-simplify]: Simplify (+ (* (cos (/ 1 re)) 0) (* 0 1)) into 0 0.623 * [backup-simplify]: Simplify (- (+ (* (/ 1 re) (/ 0 re)))) into 0 0.623 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 0.623 * [backup-simplify]: Simplify (+ (* (sin (/ 1 re)) 0) (* 0 0)) into 0 0.624 * [backup-simplify]: Simplify (- 0) into 0 0.624 * [backup-simplify]: Simplify (+ 0 0) into 0 0.624 * [backup-simplify]: Simplify (+ (* (cos (/ 1 re)) 0) (* 0 (exp (/ 1 im)))) into 0 0.624 * [backup-simplify]: Simplify (+ (* 0.5 0) (* 0 (* (cos (/ 1 re)) (exp (/ 1 im))))) into 0 0.624 * [backup-simplify]: Simplify 0 into 0 0.624 * [backup-simplify]: Simplify (- (+ (* (/ 1 im) (/ 0 im)) (* 0 (/ 0 im)))) into 0 0.625 * [backup-simplify]: Simplify (* (exp (/ 1 im)) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 0.626 * [backup-simplify]: Simplify (+ (* (cos (/ 1 re)) 0) (+ (* 0 0) (* 0 (exp (/ 1 im))))) into 0 0.626 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* 0 0) (* 0 (* (cos (/ 1 re)) (exp (/ 1 im)))))) into 0 0.626 * [taylor]: Taking taylor expansion of 0 in im 0.626 * [backup-simplify]: Simplify 0 into 0 0.626 * [backup-simplify]: Simplify 0 into 0 0.626 * [backup-simplify]: Simplify 0 into 0 0.627 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0 0.627 * [backup-simplify]: Simplify (+ (* (cos (/ 1 re)) 0) (+ (* 0 0) (* 0 1))) into 0 0.627 * [backup-simplify]: Simplify (- (+ (* (/ 1 re) (/ 0 re)) (* 0 (/ 0 re)))) into 0 0.628 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 0.628 * [backup-simplify]: Simplify (+ (* (sin (/ 1 re)) 0) (+ (* 0 0) (* 0 0))) into 0 0.628 * [backup-simplify]: Simplify (- 0) into 0 0.628 * [backup-simplify]: Simplify (+ 0 0) into 0 0.629 * [backup-simplify]: Simplify (+ (* (cos (/ 1 re)) 0) (+ (* 0 0) (* 0 (exp (/ 1 im))))) into 0 0.629 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* 0 0) (* 0 (* (cos (/ 1 re)) (exp (/ 1 im)))))) into 0 0.629 * [backup-simplify]: Simplify 0 into 0 0.630 * [backup-simplify]: Simplify (- (+ (* (/ 1 im) (/ 0 im)) (* 0 (/ 0 im)) (* 0 (/ 0 im)))) into 0 0.630 * [backup-simplify]: Simplify (* (exp (/ 1 im)) (+ (* (/ (pow 0 3) 6)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1)))) into 0 0.631 * [backup-simplify]: Simplify (+ (* (cos (/ 1 re)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (exp (/ 1 im)))))) into 0 0.632 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* 0 0) (+ (* 0 0) (* 0 (* (cos (/ 1 re)) (exp (/ 1 im))))))) into 0 0.632 * [taylor]: Taking taylor expansion of 0 in im 0.632 * [backup-simplify]: Simplify 0 into 0 0.632 * [backup-simplify]: Simplify 0 into 0 0.632 * [backup-simplify]: Simplify (* 0.5 (* (cos (/ 1 (/ 1 re))) (exp (/ 1 (/ 1 im))))) into (* 0.5 (* (exp im) (cos re))) 0.632 * [backup-simplify]: Simplify (* (* 0.5 (cos (/ 1 (- re)))) (exp (/ 1 (- im)))) into (* 0.5 (* (exp (/ -1 im)) (cos (/ -1 re)))) 0.632 * [approximate]: Taking taylor expansion of (* 0.5 (* (exp (/ -1 im)) (cos (/ -1 re)))) in (re im) around 0 0.632 * [taylor]: Taking taylor expansion of (* 0.5 (* (exp (/ -1 im)) (cos (/ -1 re)))) in im 0.632 * [taylor]: Taking taylor expansion of 0.5 in im 0.632 * [backup-simplify]: Simplify 0.5 into 0.5 0.632 * [taylor]: Taking taylor expansion of (* (exp (/ -1 im)) (cos (/ -1 re))) in im 0.632 * [taylor]: Taking taylor expansion of (exp (/ -1 im)) in im 0.632 * [taylor]: Taking taylor expansion of (/ -1 im) in im 0.632 * [taylor]: Taking taylor expansion of -1 in im 0.632 * [backup-simplify]: Simplify -1 into -1 0.632 * [taylor]: Taking taylor expansion of im in im 0.632 * [backup-simplify]: Simplify 0 into 0 0.632 * [backup-simplify]: Simplify 1 into 1 0.632 * [backup-simplify]: Simplify (/ -1 1) into -1 0.633 * [backup-simplify]: Simplify (exp (/ -1 im)) into (exp (/ -1 im)) 0.633 * [taylor]: Taking taylor expansion of (cos (/ -1 re)) in im 0.633 * [taylor]: Taking taylor expansion of (/ -1 re) in im 0.633 * [taylor]: Taking taylor expansion of -1 in im 0.633 * [backup-simplify]: Simplify -1 into -1 0.633 * [taylor]: Taking taylor expansion of re in im 0.633 * [backup-simplify]: Simplify re into re 0.633 * [backup-simplify]: Simplify (/ -1 re) into (/ -1 re) 0.633 * [backup-simplify]: Simplify (cos (/ -1 re)) into (cos (/ -1 re)) 0.633 * [backup-simplify]: Simplify (sin (/ -1 re)) into (sin (/ -1 re)) 0.633 * [taylor]: Taking taylor expansion of (* 0.5 (* (exp (/ -1 im)) (cos (/ -1 re)))) in re 0.633 * [taylor]: Taking taylor expansion of 0.5 in re 0.633 * [backup-simplify]: Simplify 0.5 into 0.5 0.633 * [taylor]: Taking taylor expansion of (* (exp (/ -1 im)) (cos (/ -1 re))) in re 0.633 * [taylor]: Taking taylor expansion of (exp (/ -1 im)) in re 0.633 * [taylor]: Taking taylor expansion of (/ -1 im) in re 0.633 * [taylor]: Taking taylor expansion of -1 in re 0.633 * [backup-simplify]: Simplify -1 into -1 0.633 * [taylor]: Taking taylor expansion of im in re 0.633 * [backup-simplify]: Simplify im into im 0.633 * [backup-simplify]: Simplify (/ -1 im) into (/ -1 im) 0.633 * [backup-simplify]: Simplify (exp (/ -1 im)) into (exp (/ -1 im)) 0.633 * [taylor]: Taking taylor expansion of (cos (/ -1 re)) in re 0.633 * [taylor]: Taking taylor expansion of (/ -1 re) in re 0.633 * [taylor]: Taking taylor expansion of -1 in re 0.633 * [backup-simplify]: Simplify -1 into -1 0.633 * [taylor]: Taking taylor expansion of re in re 0.633 * [backup-simplify]: Simplify 0 into 0 0.633 * [backup-simplify]: Simplify 1 into 1 0.633 * [backup-simplify]: Simplify (/ -1 1) into -1 0.633 * [backup-simplify]: Simplify (cos (/ -1 re)) into (cos (/ -1 re)) 0.633 * [taylor]: Taking taylor expansion of (* 0.5 (* (exp (/ -1 im)) (cos (/ -1 re)))) in re 0.633 * [taylor]: Taking taylor expansion of 0.5 in re 0.633 * [backup-simplify]: Simplify 0.5 into 0.5 0.633 * [taylor]: Taking taylor expansion of (* (exp (/ -1 im)) (cos (/ -1 re))) in re 0.633 * [taylor]: Taking taylor expansion of (exp (/ -1 im)) in re 0.634 * [taylor]: Taking taylor expansion of (/ -1 im) in re 0.634 * [taylor]: Taking taylor expansion of -1 in re 0.634 * [backup-simplify]: Simplify -1 into -1 0.634 * [taylor]: Taking taylor expansion of im in re 0.634 * [backup-simplify]: Simplify im into im 0.634 * [backup-simplify]: Simplify (/ -1 im) into (/ -1 im) 0.634 * [backup-simplify]: Simplify (exp (/ -1 im)) into (exp (/ -1 im)) 0.634 * [taylor]: Taking taylor expansion of (cos (/ -1 re)) in re 0.634 * [taylor]: Taking taylor expansion of (/ -1 re) in re 0.634 * [taylor]: Taking taylor expansion of -1 in re 0.634 * [backup-simplify]: Simplify -1 into -1 0.634 * [taylor]: Taking taylor expansion of re in re 0.634 * [backup-simplify]: Simplify 0 into 0 0.634 * [backup-simplify]: Simplify 1 into 1 0.634 * [backup-simplify]: Simplify (/ -1 1) into -1 0.634 * [backup-simplify]: Simplify (cos (/ -1 re)) into (cos (/ -1 re)) 0.634 * [backup-simplify]: Simplify (* (exp (/ -1 im)) (cos (/ -1 re))) into (* (exp (/ -1 im)) (cos (/ -1 re))) 0.634 * [backup-simplify]: Simplify (* 0.5 (* (exp (/ -1 im)) (cos (/ -1 re)))) into (* 0.5 (* (exp (/ -1 im)) (cos (/ -1 re)))) 0.634 * [taylor]: Taking taylor expansion of (* 0.5 (* (exp (/ -1 im)) (cos (/ -1 re)))) in im 0.634 * [taylor]: Taking taylor expansion of 0.5 in im 0.634 * [backup-simplify]: Simplify 0.5 into 0.5 0.634 * [taylor]: Taking taylor expansion of (* (exp (/ -1 im)) (cos (/ -1 re))) in im 0.634 * [taylor]: Taking taylor expansion of (exp (/ -1 im)) in im 0.634 * [taylor]: Taking taylor expansion of (/ -1 im) in im 0.634 * [taylor]: Taking taylor expansion of -1 in im 0.634 * [backup-simplify]: Simplify -1 into -1 0.634 * [taylor]: Taking taylor expansion of im in im 0.634 * [backup-simplify]: Simplify 0 into 0 0.634 * [backup-simplify]: Simplify 1 into 1 0.635 * [backup-simplify]: Simplify (/ -1 1) into -1 0.635 * [backup-simplify]: Simplify (exp (/ -1 im)) into (exp (/ -1 im)) 0.635 * [taylor]: Taking taylor expansion of (cos (/ -1 re)) in im 0.635 * [taylor]: Taking taylor expansion of (/ -1 re) in im 0.635 * [taylor]: Taking taylor expansion of -1 in im 0.635 * [backup-simplify]: Simplify -1 into -1 0.635 * [taylor]: Taking taylor expansion of re in im 0.635 * [backup-simplify]: Simplify re into re 0.635 * [backup-simplify]: Simplify (/ -1 re) into (/ -1 re) 0.635 * [backup-simplify]: Simplify (cos (/ -1 re)) into (cos (/ -1 re)) 0.635 * [backup-simplify]: Simplify (sin (/ -1 re)) into (sin (/ -1 re)) 0.635 * [backup-simplify]: Simplify (* (cos (/ -1 re)) 1) into (cos (/ -1 re)) 0.635 * [backup-simplify]: Simplify (* (sin (/ -1 re)) 0) into 0 0.635 * [backup-simplify]: Simplify (- 0) into 0 0.635 * [backup-simplify]: Simplify (+ (cos (/ -1 re)) 0) into (cos (/ -1 re)) 0.635 * [backup-simplify]: Simplify (* (exp (/ -1 im)) (cos (/ -1 re))) into (* (exp (/ -1 im)) (cos (/ -1 re))) 0.636 * [backup-simplify]: Simplify (* 0.5 (* (exp (/ -1 im)) (cos (/ -1 re)))) into (* 0.5 (* (exp (/ -1 im)) (cos (/ -1 re)))) 0.636 * [backup-simplify]: Simplify (* 0.5 (* (exp (/ -1 im)) (cos (/ -1 re)))) into (* 0.5 (* (exp (/ -1 im)) (cos (/ -1 re)))) 0.636 * [backup-simplify]: Simplify (- (/ 0 im) (+ (* (/ -1 im) (/ 0 im)))) into 0 0.636 * [backup-simplify]: Simplify (* (exp (/ -1 im)) (+ (* (/ (pow 0 1) 1)))) into 0 0.636 * [backup-simplify]: Simplify (+ (* (exp (/ -1 im)) 0) (* 0 (cos (/ -1 re)))) into 0 0.637 * [backup-simplify]: Simplify (+ (* 0.5 0) (* 0 (* (exp (/ -1 im)) (cos (/ -1 re))))) into 0 0.637 * [taylor]: Taking taylor expansion of 0 in im 0.637 * [backup-simplify]: Simplify 0 into 0 0.637 * [backup-simplify]: Simplify 0 into 0 0.637 * [backup-simplify]: Simplify (+ 0) into 0 0.637 * [backup-simplify]: Simplify (+ (* (cos (/ -1 re)) 0) (* 0 1)) into 0 0.637 * [backup-simplify]: Simplify (- (/ 0 re) (+ (* (/ -1 re) (/ 0 re)))) into 0 0.638 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 0.638 * [backup-simplify]: Simplify (+ (* (sin (/ -1 re)) 0) (* 0 0)) into 0 0.638 * [backup-simplify]: Simplify (- 0) into 0 0.639 * [backup-simplify]: Simplify (+ 0 0) into 0 0.639 * [backup-simplify]: Simplify (+ (* (exp (/ -1 im)) 0) (* 0 (cos (/ -1 re)))) into 0 0.639 * [backup-simplify]: Simplify (+ (* 0.5 0) (* 0 (* (exp (/ -1 im)) (cos (/ -1 re))))) into 0 0.639 * [backup-simplify]: Simplify 0 into 0 0.639 * [backup-simplify]: Simplify (- (/ 0 im) (+ (* (/ -1 im) (/ 0 im)) (* 0 (/ 0 im)))) into 0 0.640 * [backup-simplify]: Simplify (* (exp (/ -1 im)) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 0.640 * [backup-simplify]: Simplify (+ (* (exp (/ -1 im)) 0) (+ (* 0 0) (* 0 (cos (/ -1 re))))) into 0 0.641 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* 0 0) (* 0 (* (exp (/ -1 im)) (cos (/ -1 re)))))) into 0 0.641 * [taylor]: Taking taylor expansion of 0 in im 0.641 * [backup-simplify]: Simplify 0 into 0 0.641 * [backup-simplify]: Simplify 0 into 0 0.641 * [backup-simplify]: Simplify 0 into 0 0.641 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0 0.642 * [backup-simplify]: Simplify (+ (* (cos (/ -1 re)) 0) (+ (* 0 0) (* 0 1))) into 0 0.642 * [backup-simplify]: Simplify (- (/ 0 re) (+ (* (/ -1 re) (/ 0 re)) (* 0 (/ 0 re)))) into 0 0.642 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 0.643 * [backup-simplify]: Simplify (+ (* (sin (/ -1 re)) 0) (+ (* 0 0) (* 0 0))) into 0 0.643 * [backup-simplify]: Simplify (- 0) into 0 0.643 * [backup-simplify]: Simplify (+ 0 0) into 0 0.643 * [backup-simplify]: Simplify (+ (* (exp (/ -1 im)) 0) (+ (* 0 0) (* 0 (cos (/ -1 re))))) into 0 0.644 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* 0 0) (* 0 (* (exp (/ -1 im)) (cos (/ -1 re)))))) into 0 0.644 * [backup-simplify]: Simplify 0 into 0 0.644 * [backup-simplify]: Simplify (- (/ 0 im) (+ (* (/ -1 im) (/ 0 im)) (* 0 (/ 0 im)) (* 0 (/ 0 im)))) into 0 0.645 * [backup-simplify]: Simplify (* (exp (/ -1 im)) (+ (* (/ (pow 0 3) 6)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1)))) into 0 0.645 * [backup-simplify]: Simplify (+ (* (exp (/ -1 im)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (cos (/ -1 re)))))) into 0 0.646 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* 0 0) (+ (* 0 0) (* 0 (* (exp (/ -1 im)) (cos (/ -1 re))))))) into 0 0.646 * [taylor]: Taking taylor expansion of 0 in im 0.646 * [backup-simplify]: Simplify 0 into 0 0.646 * [backup-simplify]: Simplify 0 into 0 0.646 * [backup-simplify]: Simplify (* 0.5 (* (exp (/ -1 (/ 1 (- im)))) (cos (/ -1 (/ 1 (- re)))))) into (* 0.5 (* (exp im) (cos re))) 0.646 * * * * [progress]: [ 3 / 3 ] generating series at (2) 0.647 * [backup-simplify]: Simplify (+ (/ (* 0.5 (cos re)) (exp im)) (* (* 0.5 (cos re)) (exp im))) into (+ (* 0.5 (* (exp im) (cos re))) (* 0.5 (/ (cos re) (exp im)))) 0.647 * [approximate]: Taking taylor expansion of (+ (* 0.5 (* (exp im) (cos re))) (* 0.5 (/ (cos re) (exp im)))) in (re im) around 0 0.647 * [taylor]: Taking taylor expansion of (+ (* 0.5 (* (exp im) (cos re))) (* 0.5 (/ (cos re) (exp im)))) in im 0.647 * [taylor]: Taking taylor expansion of (* 0.5 (* (exp im) (cos re))) in im 0.647 * [taylor]: Taking taylor expansion of 0.5 in im 0.647 * [backup-simplify]: Simplify 0.5 into 0.5 0.647 * [taylor]: Taking taylor expansion of (* (exp im) (cos re)) in im 0.647 * [taylor]: Taking taylor expansion of (exp im) in im 0.647 * [taylor]: Taking taylor expansion of im in im 0.647 * [backup-simplify]: Simplify 0 into 0 0.647 * [backup-simplify]: Simplify 1 into 1 0.647 * [backup-simplify]: Simplify (exp 0) into 1 0.647 * [taylor]: Taking taylor expansion of (cos re) in im 0.647 * [taylor]: Taking taylor expansion of re in im 0.647 * [backup-simplify]: Simplify re into re 0.647 * [backup-simplify]: Simplify (cos re) into (cos re) 0.647 * [backup-simplify]: Simplify (sin re) into (sin re) 0.647 * [taylor]: Taking taylor expansion of (* 0.5 (/ (cos re) (exp im))) in im 0.647 * [taylor]: Taking taylor expansion of 0.5 in im 0.647 * [backup-simplify]: Simplify 0.5 into 0.5 0.647 * [taylor]: Taking taylor expansion of (/ (cos re) (exp im)) in im 0.647 * [taylor]: Taking taylor expansion of (cos re) in im 0.647 * [taylor]: Taking taylor expansion of re in im 0.647 * [backup-simplify]: Simplify re into re 0.647 * [backup-simplify]: Simplify (cos re) into (cos re) 0.647 * [backup-simplify]: Simplify (sin re) into (sin re) 0.647 * [taylor]: Taking taylor expansion of (exp im) in im 0.647 * [taylor]: Taking taylor expansion of im in im 0.647 * [backup-simplify]: Simplify 0 into 0 0.647 * [backup-simplify]: Simplify 1 into 1 0.647 * [backup-simplify]: Simplify (exp 0) into 1 0.647 * [backup-simplify]: Simplify (* (cos re) 1) into (cos re) 0.647 * [backup-simplify]: Simplify (* (sin re) 0) into 0 0.647 * [backup-simplify]: Simplify (- 0) into 0 0.648 * [backup-simplify]: Simplify (+ (cos re) 0) into (cos re) 0.648 * [backup-simplify]: Simplify (/ (cos re) 1) into (cos re) 0.648 * [taylor]: Taking taylor expansion of (+ (* 0.5 (* (exp im) (cos re))) (* 0.5 (/ (cos re) (exp im)))) in re 0.648 * [taylor]: Taking taylor expansion of (* 0.5 (* (exp im) (cos re))) in re 0.648 * [taylor]: Taking taylor expansion of 0.5 in re 0.648 * [backup-simplify]: Simplify 0.5 into 0.5 0.648 * [taylor]: Taking taylor expansion of (* (exp im) (cos re)) in re 0.648 * [taylor]: Taking taylor expansion of (exp im) in re 0.648 * [taylor]: Taking taylor expansion of im in re 0.648 * [backup-simplify]: Simplify im into im 0.648 * [backup-simplify]: Simplify (exp im) into (exp im) 0.648 * [taylor]: Taking taylor expansion of (cos re) in re 0.648 * [taylor]: Taking taylor expansion of re in re 0.648 * [backup-simplify]: Simplify 0 into 0 0.648 * [backup-simplify]: Simplify 1 into 1 0.648 * [taylor]: Taking taylor expansion of (* 0.5 (/ (cos re) (exp im))) in re 0.648 * [taylor]: Taking taylor expansion of 0.5 in re 0.648 * [backup-simplify]: Simplify 0.5 into 0.5 0.648 * [taylor]: Taking taylor expansion of (/ (cos re) (exp im)) in re 0.648 * [taylor]: Taking taylor expansion of (cos re) in re 0.648 * [taylor]: Taking taylor expansion of re in re 0.648 * [backup-simplify]: Simplify 0 into 0 0.648 * [backup-simplify]: Simplify 1 into 1 0.648 * [taylor]: Taking taylor expansion of (exp im) in re 0.648 * [taylor]: Taking taylor expansion of im in re 0.648 * [backup-simplify]: Simplify im into im 0.648 * [backup-simplify]: Simplify (exp im) into (exp im) 0.648 * [backup-simplify]: Simplify (/ 1 (exp im)) into (/ 1 (exp im)) 0.648 * [taylor]: Taking taylor expansion of (+ (* 0.5 (* (exp im) (cos re))) (* 0.5 (/ (cos re) (exp im)))) in re 0.648 * [taylor]: Taking taylor expansion of (* 0.5 (* (exp im) (cos re))) in re 0.648 * [taylor]: Taking taylor expansion of 0.5 in re 0.648 * [backup-simplify]: Simplify 0.5 into 0.5 0.648 * [taylor]: Taking taylor expansion of (* (exp im) (cos re)) in re 0.648 * [taylor]: Taking taylor expansion of (exp im) in re 0.648 * [taylor]: Taking taylor expansion of im in re 0.648 * [backup-simplify]: Simplify im into im 0.648 * [backup-simplify]: Simplify (exp im) into (exp im) 0.648 * [taylor]: Taking taylor expansion of (cos re) in re 0.648 * [taylor]: Taking taylor expansion of re in re 0.648 * [backup-simplify]: Simplify 0 into 0 0.648 * [backup-simplify]: Simplify 1 into 1 0.648 * [taylor]: Taking taylor expansion of (* 0.5 (/ (cos re) (exp im))) in re 0.648 * [taylor]: Taking taylor expansion of 0.5 in re 0.648 * [backup-simplify]: Simplify 0.5 into 0.5 0.648 * [taylor]: Taking taylor expansion of (/ (cos re) (exp im)) in re 0.648 * [taylor]: Taking taylor expansion of (cos re) in re 0.648 * [taylor]: Taking taylor expansion of re in re 0.648 * [backup-simplify]: Simplify 0 into 0 0.648 * [backup-simplify]: Simplify 1 into 1 0.648 * [taylor]: Taking taylor expansion of (exp im) in re 0.648 * [taylor]: Taking taylor expansion of im in re 0.648 * [backup-simplify]: Simplify im into im 0.648 * [backup-simplify]: Simplify (exp im) into (exp im) 0.649 * [backup-simplify]: Simplify (/ 1 (exp im)) into (/ 1 (exp im)) 0.649 * [backup-simplify]: Simplify (* (exp im) 1) into (exp im) 0.649 * [backup-simplify]: Simplify (* 0.5 (exp im)) into (* 0.5 (exp im)) 0.649 * [backup-simplify]: Simplify (* 0.5 (/ 1 (exp im))) into (/ 0.5 (exp im)) 0.649 * [backup-simplify]: Simplify (+ (* 0.5 (exp im)) (/ 0.5 (exp im))) into (+ (* 0.5 (/ 1 (exp im))) (* 0.5 (exp im))) 0.649 * [taylor]: Taking taylor expansion of (+ (* 0.5 (/ 1 (exp im))) (* 0.5 (exp im))) in im 0.649 * [taylor]: Taking taylor expansion of (* 0.5 (/ 1 (exp im))) in im 0.649 * [taylor]: Taking taylor expansion of 0.5 in im 0.649 * [backup-simplify]: Simplify 0.5 into 0.5 0.649 * [taylor]: Taking taylor expansion of (/ 1 (exp im)) in im 0.649 * [taylor]: Taking taylor expansion of (exp im) in im 0.649 * [taylor]: Taking taylor expansion of im in im 0.649 * [backup-simplify]: Simplify 0 into 0 0.649 * [backup-simplify]: Simplify 1 into 1 0.649 * [backup-simplify]: Simplify (exp 0) into 1 0.649 * [backup-simplify]: Simplify (/ 1 1) into 1 0.649 * [taylor]: Taking taylor expansion of (* 0.5 (exp im)) in im 0.649 * [taylor]: Taking taylor expansion of 0.5 in im 0.649 * [backup-simplify]: Simplify 0.5 into 0.5 0.649 * [taylor]: Taking taylor expansion of (exp im) in im 0.649 * [taylor]: Taking taylor expansion of im in im 0.649 * [backup-simplify]: Simplify 0 into 0 0.649 * [backup-simplify]: Simplify 1 into 1 0.649 * [backup-simplify]: Simplify (exp 0) into 1 0.650 * [backup-simplify]: Simplify (* 0.5 1) into 0.5 0.650 * [backup-simplify]: Simplify (* 0.5 1) into 0.5 0.650 * [backup-simplify]: Simplify (+ 0.5 0.5) into 1.0 0.650 * [backup-simplify]: Simplify 1.0 into 1.0 0.650 * [backup-simplify]: Simplify (+ 0) into 0 0.651 * [backup-simplify]: Simplify (* (exp im) (+ (* (/ (pow 0 1) 1)))) into 0 0.651 * [backup-simplify]: Simplify (+ (* (exp im) 0) (* 0 1)) into 0 0.651 * [backup-simplify]: Simplify (+ (* 0.5 0) (* 0 (exp im))) into 0 0.652 * [backup-simplify]: Simplify (+ 0) into 0 0.652 * [backup-simplify]: Simplify (* (exp im) (+ (* (/ (pow 0 1) 1)))) into 0 0.652 * [backup-simplify]: Simplify (- (/ 0 (exp im)) (+ (* (/ 1 (exp im)) (/ 0 (exp im))))) into 0 0.653 * [backup-simplify]: Simplify (+ (* 0.5 0) (* 0 (/ 1 (exp im)))) into 0 0.653 * [backup-simplify]: Simplify (+ 0 0) into 0 0.653 * [taylor]: Taking taylor expansion of 0 in im 0.653 * [backup-simplify]: Simplify 0 into 0 0.653 * [backup-simplify]: Simplify 0 into 0 0.653 * [backup-simplify]: Simplify (* (exp 0) (+ (* (/ (pow 1 1) 1)))) into 1 0.654 * [backup-simplify]: Simplify (- (+ (* 1 (/ 1 1)))) into -1 0.655 * [backup-simplify]: Simplify (+ (* 0.5 -1) (* 0 1)) into (- 0.5) 0.655 * [backup-simplify]: Simplify (* (exp 0) (+ (* (/ (pow 1 1) 1)))) into 1 0.656 * [backup-simplify]: Simplify (+ (* 0.5 1) (* 0 1)) into 0.5 0.657 * [backup-simplify]: Simplify (+ (- 0.5) 0.5) into 0 0.657 * [backup-simplify]: Simplify 0 into 0 0.657 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 1 2) 2)) 0) into -1/2 0.658 * [backup-simplify]: Simplify (* (exp im) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 0.658 * [backup-simplify]: Simplify (+ (* (exp im) -1/2) (+ (* 0 0) (* 0 1))) into (- (* 1/2 (exp im))) 0.659 * [backup-simplify]: Simplify (+ (* 0.5 (- (* 1/2 (exp im)))) (+ (* 0 0) (* 0 (exp im)))) into (- (* 0.25 (exp im))) 0.659 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 1 2) 2)) 0) into -1/2 0.660 * [backup-simplify]: Simplify (* (exp im) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 0.660 * [backup-simplify]: Simplify (- (/ -1/2 (exp im)) (+ (* (/ 1 (exp im)) (/ 0 (exp im))) (* 0 (/ 0 (exp im))))) into (- (* 1/2 (/ 1 (exp im)))) 0.661 * [backup-simplify]: Simplify (+ (* 0.5 (- (* 1/2 (/ 1 (exp im))))) (+ (* 0 0) (* 0 (/ 1 (exp im))))) into (- (* 0.25 (/ 1 (exp im)))) 0.661 * [backup-simplify]: Simplify (+ (- (* 0.25 (exp im))) (- (* 0.25 (/ 1 (exp im))))) into (- (+ (* 0.25 (/ 1 (exp im))) (* 0.25 (exp im)))) 0.661 * [taylor]: Taking taylor expansion of (- (+ (* 0.25 (/ 1 (exp im))) (* 0.25 (exp im)))) in im 0.661 * [taylor]: Taking taylor expansion of (+ (* 0.25 (/ 1 (exp im))) (* 0.25 (exp im))) in im 0.661 * [taylor]: Taking taylor expansion of (* 0.25 (/ 1 (exp im))) in im 0.661 * [taylor]: Taking taylor expansion of 0.25 in im 0.661 * [backup-simplify]: Simplify 0.25 into 0.25 0.661 * [taylor]: Taking taylor expansion of (/ 1 (exp im)) in im 0.661 * [taylor]: Taking taylor expansion of (exp im) in im 0.661 * [taylor]: Taking taylor expansion of im in im 0.661 * [backup-simplify]: Simplify 0 into 0 0.661 * [backup-simplify]: Simplify 1 into 1 0.661 * [backup-simplify]: Simplify (exp 0) into 1 0.661 * [backup-simplify]: Simplify (/ 1 1) into 1 0.661 * [taylor]: Taking taylor expansion of (* 0.25 (exp im)) in im 0.661 * [taylor]: Taking taylor expansion of 0.25 in im 0.661 * [backup-simplify]: Simplify 0.25 into 0.25 0.661 * [taylor]: Taking taylor expansion of (exp im) in im 0.661 * [taylor]: Taking taylor expansion of im in im 0.661 * [backup-simplify]: Simplify 0 into 0 0.661 * [backup-simplify]: Simplify 1 into 1 0.661 * [backup-simplify]: Simplify (exp 0) into 1 0.662 * [backup-simplify]: Simplify (* 0.25 1) into 0.25 0.662 * [backup-simplify]: Simplify (* 0.25 1) into 0.25 0.662 * [backup-simplify]: Simplify (+ 0.25 0.25) into 0.5 0.662 * [backup-simplify]: Simplify (- 0.5) into (- 0.5) 0.662 * [backup-simplify]: Simplify (- 0.5) into (- 0.5) 0.663 * [backup-simplify]: Simplify 0 into 0 0.663 * [backup-simplify]: Simplify (* (exp 0) (+ (* (/ (pow 1 2) 2)) (* (/ (pow 0 1) 1)))) into 1/2 0.664 * [backup-simplify]: Simplify (- (+ (* 1 (/ 1/2 1)) (* -1 (/ 1 1)))) into 1/2 0.665 * [backup-simplify]: Simplify (+ (* 0.5 1/2) (+ (* 0 -1) (* 0 1))) into 0.25 0.666 * [backup-simplify]: Simplify (* (exp 0) (+ (* (/ (pow 1 2) 2)) (* (/ (pow 0 1) 1)))) into 1/2 0.667 * [backup-simplify]: Simplify (+ (* 0.5 1/2) (+ (* 0 1) (* 0 1))) into 0.25 0.667 * [backup-simplify]: Simplify (+ 0.25 0.25) into 0.5 0.667 * [backup-simplify]: Simplify 0.5 into 0.5 0.668 * [backup-simplify]: Simplify (+ (* 0.5 (pow (* im 1) 2)) (+ (* (- 0.5) (pow (* 1 re) 2)) 1.0)) into (- (+ (* 0.5 (pow im 2)) 1.0) (* 0.5 (pow re 2))) 0.668 * [backup-simplify]: Simplify (+ (/ (* 0.5 (cos (/ 1 re))) (exp (/ 1 im))) (* (* 0.5 (cos (/ 1 re))) (exp (/ 1 im)))) into (+ (* 0.5 (* (cos (/ 1 re)) (exp (/ 1 im)))) (* 0.5 (/ (cos (/ 1 re)) (exp (/ 1 im))))) 0.668 * [approximate]: Taking taylor expansion of (+ (* 0.5 (* (cos (/ 1 re)) (exp (/ 1 im)))) (* 0.5 (/ (cos (/ 1 re)) (exp (/ 1 im))))) in (re im) around 0 0.668 * [taylor]: Taking taylor expansion of (+ (* 0.5 (* (cos (/ 1 re)) (exp (/ 1 im)))) (* 0.5 (/ (cos (/ 1 re)) (exp (/ 1 im))))) in im 0.668 * [taylor]: Taking taylor expansion of (* 0.5 (* (cos (/ 1 re)) (exp (/ 1 im)))) in im 0.668 * [taylor]: Taking taylor expansion of 0.5 in im 0.668 * [backup-simplify]: Simplify 0.5 into 0.5 0.668 * [taylor]: Taking taylor expansion of (* (cos (/ 1 re)) (exp (/ 1 im))) in im 0.668 * [taylor]: Taking taylor expansion of (cos (/ 1 re)) in im 0.668 * [taylor]: Taking taylor expansion of (/ 1 re) in im 0.668 * [taylor]: Taking taylor expansion of re in im 0.668 * [backup-simplify]: Simplify re into re 0.668 * [backup-simplify]: Simplify (/ 1 re) into (/ 1 re) 0.668 * [backup-simplify]: Simplify (cos (/ 1 re)) into (cos (/ 1 re)) 0.668 * [backup-simplify]: Simplify (sin (/ 1 re)) into (sin (/ 1 re)) 0.668 * [taylor]: Taking taylor expansion of (exp (/ 1 im)) in im 0.668 * [taylor]: Taking taylor expansion of (/ 1 im) in im 0.668 * [taylor]: Taking taylor expansion of im in im 0.668 * [backup-simplify]: Simplify 0 into 0 0.668 * [backup-simplify]: Simplify 1 into 1 0.669 * [backup-simplify]: Simplify (/ 1 1) into 1 0.669 * [backup-simplify]: Simplify (exp (/ 1 im)) into (exp (/ 1 im)) 0.669 * [taylor]: Taking taylor expansion of (* 0.5 (/ (cos (/ 1 re)) (exp (/ 1 im)))) in im 0.669 * [taylor]: Taking taylor expansion of 0.5 in im 0.669 * [backup-simplify]: Simplify 0.5 into 0.5 0.669 * [taylor]: Taking taylor expansion of (/ (cos (/ 1 re)) (exp (/ 1 im))) in im 0.669 * [taylor]: Taking taylor expansion of (cos (/ 1 re)) in im 0.669 * [taylor]: Taking taylor expansion of (/ 1 re) in im 0.669 * [taylor]: Taking taylor expansion of re in im 0.669 * [backup-simplify]: Simplify re into re 0.669 * [backup-simplify]: Simplify (/ 1 re) into (/ 1 re) 0.669 * [backup-simplify]: Simplify (cos (/ 1 re)) into (cos (/ 1 re)) 0.669 * [backup-simplify]: Simplify (sin (/ 1 re)) into (sin (/ 1 re)) 0.669 * [taylor]: Taking taylor expansion of (exp (/ 1 im)) in im 0.669 * [taylor]: Taking taylor expansion of (/ 1 im) in im 0.669 * [taylor]: Taking taylor expansion of im in im 0.669 * [backup-simplify]: Simplify 0 into 0 0.669 * [backup-simplify]: Simplify 1 into 1 0.669 * [backup-simplify]: Simplify (/ 1 1) into 1 0.669 * [backup-simplify]: Simplify (exp (/ 1 im)) into (exp (/ 1 im)) 0.669 * [backup-simplify]: Simplify (* (cos (/ 1 re)) 1) into (cos (/ 1 re)) 0.670 * [backup-simplify]: Simplify (* (sin (/ 1 re)) 0) into 0 0.670 * [backup-simplify]: Simplify (- 0) into 0 0.670 * [backup-simplify]: Simplify (+ (cos (/ 1 re)) 0) into (cos (/ 1 re)) 0.670 * [backup-simplify]: Simplify (/ (cos (/ 1 re)) (exp (/ 1 im))) into (/ (cos (/ 1 re)) (exp (/ 1 im))) 0.670 * [taylor]: Taking taylor expansion of (+ (* 0.5 (* (cos (/ 1 re)) (exp (/ 1 im)))) (* 0.5 (/ (cos (/ 1 re)) (exp (/ 1 im))))) in re 0.670 * [taylor]: Taking taylor expansion of (* 0.5 (* (cos (/ 1 re)) (exp (/ 1 im)))) in re 0.670 * [taylor]: Taking taylor expansion of 0.5 in re 0.670 * [backup-simplify]: Simplify 0.5 into 0.5 0.670 * [taylor]: Taking taylor expansion of (* (cos (/ 1 re)) (exp (/ 1 im))) in re 0.670 * [taylor]: Taking taylor expansion of (cos (/ 1 re)) in re 0.670 * [taylor]: Taking taylor expansion of (/ 1 re) in re 0.670 * [taylor]: Taking taylor expansion of re in re 0.670 * [backup-simplify]: Simplify 0 into 0 0.670 * [backup-simplify]: Simplify 1 into 1 0.670 * [backup-simplify]: Simplify (/ 1 1) into 1 0.670 * [backup-simplify]: Simplify (cos (/ 1 re)) into (cos (/ 1 re)) 0.670 * [taylor]: Taking taylor expansion of (exp (/ 1 im)) in re 0.670 * [taylor]: Taking taylor expansion of (/ 1 im) in re 0.670 * [taylor]: Taking taylor expansion of im in re 0.670 * [backup-simplify]: Simplify im into im 0.671 * [backup-simplify]: Simplify (/ 1 im) into (/ 1 im) 0.671 * [backup-simplify]: Simplify (exp (/ 1 im)) into (exp (/ 1 im)) 0.671 * [taylor]: Taking taylor expansion of (* 0.5 (/ (cos (/ 1 re)) (exp (/ 1 im)))) in re 0.671 * [taylor]: Taking taylor expansion of 0.5 in re 0.671 * [backup-simplify]: Simplify 0.5 into 0.5 0.671 * [taylor]: Taking taylor expansion of (/ (cos (/ 1 re)) (exp (/ 1 im))) in re 0.671 * [taylor]: Taking taylor expansion of (cos (/ 1 re)) in re 0.671 * [taylor]: Taking taylor expansion of (/ 1 re) in re 0.671 * [taylor]: Taking taylor expansion of re in re 0.671 * [backup-simplify]: Simplify 0 into 0 0.671 * [backup-simplify]: Simplify 1 into 1 0.671 * [backup-simplify]: Simplify (/ 1 1) into 1 0.671 * [backup-simplify]: Simplify (cos (/ 1 re)) into (cos (/ 1 re)) 0.671 * [taylor]: Taking taylor expansion of (exp (/ 1 im)) in re 0.671 * [taylor]: Taking taylor expansion of (/ 1 im) in re 0.671 * [taylor]: Taking taylor expansion of im in re 0.671 * [backup-simplify]: Simplify im into im 0.671 * [backup-simplify]: Simplify (/ 1 im) into (/ 1 im) 0.671 * [backup-simplify]: Simplify (exp (/ 1 im)) into (exp (/ 1 im)) 0.671 * [backup-simplify]: Simplify (/ (cos (/ 1 re)) (exp (/ 1 im))) into (/ (cos (/ 1 re)) (exp (/ 1 im))) 0.671 * [taylor]: Taking taylor expansion of (+ (* 0.5 (* (cos (/ 1 re)) (exp (/ 1 im)))) (* 0.5 (/ (cos (/ 1 re)) (exp (/ 1 im))))) in re 0.671 * [taylor]: Taking taylor expansion of (* 0.5 (* (cos (/ 1 re)) (exp (/ 1 im)))) in re 0.671 * [taylor]: Taking taylor expansion of 0.5 in re 0.671 * [backup-simplify]: Simplify 0.5 into 0.5 0.671 * [taylor]: Taking taylor expansion of (* (cos (/ 1 re)) (exp (/ 1 im))) in re 0.671 * [taylor]: Taking taylor expansion of (cos (/ 1 re)) in re 0.671 * [taylor]: Taking taylor expansion of (/ 1 re) in re 0.671 * [taylor]: Taking taylor expansion of re in re 0.671 * [backup-simplify]: Simplify 0 into 0 0.671 * [backup-simplify]: Simplify 1 into 1 0.672 * [backup-simplify]: Simplify (/ 1 1) into 1 0.672 * [backup-simplify]: Simplify (cos (/ 1 re)) into (cos (/ 1 re)) 0.672 * [taylor]: Taking taylor expansion of (exp (/ 1 im)) in re 0.672 * [taylor]: Taking taylor expansion of (/ 1 im) in re 0.672 * [taylor]: Taking taylor expansion of im in re 0.672 * [backup-simplify]: Simplify im into im 0.672 * [backup-simplify]: Simplify (/ 1 im) into (/ 1 im) 0.672 * [backup-simplify]: Simplify (exp (/ 1 im)) into (exp (/ 1 im)) 0.672 * [taylor]: Taking taylor expansion of (* 0.5 (/ (cos (/ 1 re)) (exp (/ 1 im)))) in re 0.672 * [taylor]: Taking taylor expansion of 0.5 in re 0.672 * [backup-simplify]: Simplify 0.5 into 0.5 0.672 * [taylor]: Taking taylor expansion of (/ (cos (/ 1 re)) (exp (/ 1 im))) in re 0.672 * [taylor]: Taking taylor expansion of (cos (/ 1 re)) in re 0.672 * [taylor]: Taking taylor expansion of (/ 1 re) in re 0.672 * [taylor]: Taking taylor expansion of re in re 0.672 * [backup-simplify]: Simplify 0 into 0 0.672 * [backup-simplify]: Simplify 1 into 1 0.672 * [backup-simplify]: Simplify (/ 1 1) into 1 0.672 * [backup-simplify]: Simplify (cos (/ 1 re)) into (cos (/ 1 re)) 0.672 * [taylor]: Taking taylor expansion of (exp (/ 1 im)) in re 0.672 * [taylor]: Taking taylor expansion of (/ 1 im) in re 0.672 * [taylor]: Taking taylor expansion of im in re 0.672 * [backup-simplify]: Simplify im into im 0.672 * [backup-simplify]: Simplify (/ 1 im) into (/ 1 im) 0.672 * [backup-simplify]: Simplify (exp (/ 1 im)) into (exp (/ 1 im)) 0.672 * [backup-simplify]: Simplify (/ (cos (/ 1 re)) (exp (/ 1 im))) into (/ (cos (/ 1 re)) (exp (/ 1 im))) 0.673 * [backup-simplify]: Simplify (* (cos (/ 1 re)) (exp (/ 1 im))) into (* (cos (/ 1 re)) (exp (/ 1 im))) 0.673 * [backup-simplify]: Simplify (* 0.5 (* (cos (/ 1 re)) (exp (/ 1 im)))) into (* 0.5 (* (cos (/ 1 re)) (exp (/ 1 im)))) 0.673 * [backup-simplify]: Simplify (* 0.5 (/ (cos (/ 1 re)) (exp (/ 1 im)))) into (* 0.5 (/ (cos (/ 1 re)) (exp (/ 1 im)))) 0.673 * [backup-simplify]: Simplify (+ (* 0.5 (* (cos (/ 1 re)) (exp (/ 1 im)))) (* 0.5 (/ (cos (/ 1 re)) (exp (/ 1 im))))) into (+ (* 0.5 (* (cos (/ 1 re)) (exp (/ 1 im)))) (* 0.5 (/ (cos (/ 1 re)) (exp (/ 1 im))))) 0.673 * [taylor]: Taking taylor expansion of (+ (* 0.5 (* (cos (/ 1 re)) (exp (/ 1 im)))) (* 0.5 (/ (cos (/ 1 re)) (exp (/ 1 im))))) in im 0.673 * [taylor]: Taking taylor expansion of (* 0.5 (* (cos (/ 1 re)) (exp (/ 1 im)))) in im 0.673 * [taylor]: Taking taylor expansion of 0.5 in im 0.673 * [backup-simplify]: Simplify 0.5 into 0.5 0.673 * [taylor]: Taking taylor expansion of (* (cos (/ 1 re)) (exp (/ 1 im))) in im 0.673 * [taylor]: Taking taylor expansion of (cos (/ 1 re)) in im 0.673 * [taylor]: Taking taylor expansion of (/ 1 re) in im 0.673 * [taylor]: Taking taylor expansion of re in im 0.673 * [backup-simplify]: Simplify re into re 0.673 * [backup-simplify]: Simplify (/ 1 re) into (/ 1 re) 0.673 * [backup-simplify]: Simplify (cos (/ 1 re)) into (cos (/ 1 re)) 0.673 * [backup-simplify]: Simplify (sin (/ 1 re)) into (sin (/ 1 re)) 0.673 * [taylor]: Taking taylor expansion of (exp (/ 1 im)) in im 0.673 * [taylor]: Taking taylor expansion of (/ 1 im) in im 0.673 * [taylor]: Taking taylor expansion of im in im 0.673 * [backup-simplify]: Simplify 0 into 0 0.673 * [backup-simplify]: Simplify 1 into 1 0.674 * [backup-simplify]: Simplify (/ 1 1) into 1 0.674 * [backup-simplify]: Simplify (exp (/ 1 im)) into (exp (/ 1 im)) 0.674 * [taylor]: Taking taylor expansion of (* 0.5 (/ (cos (/ 1 re)) (exp (/ 1 im)))) in im 0.674 * [taylor]: Taking taylor expansion of 0.5 in im 0.674 * [backup-simplify]: Simplify 0.5 into 0.5 0.674 * [taylor]: Taking taylor expansion of (/ (cos (/ 1 re)) (exp (/ 1 im))) in im 0.674 * [taylor]: Taking taylor expansion of (cos (/ 1 re)) in im 0.674 * [taylor]: Taking taylor expansion of (/ 1 re) in im 0.674 * [taylor]: Taking taylor expansion of re in im 0.674 * [backup-simplify]: Simplify re into re 0.674 * [backup-simplify]: Simplify (/ 1 re) into (/ 1 re) 0.674 * [backup-simplify]: Simplify (cos (/ 1 re)) into (cos (/ 1 re)) 0.674 * [backup-simplify]: Simplify (sin (/ 1 re)) into (sin (/ 1 re)) 0.674 * [taylor]: Taking taylor expansion of (exp (/ 1 im)) in im 0.674 * [taylor]: Taking taylor expansion of (/ 1 im) in im 0.674 * [taylor]: Taking taylor expansion of im in im 0.674 * [backup-simplify]: Simplify 0 into 0 0.674 * [backup-simplify]: Simplify 1 into 1 0.674 * [backup-simplify]: Simplify (/ 1 1) into 1 0.674 * [backup-simplify]: Simplify (exp (/ 1 im)) into (exp (/ 1 im)) 0.674 * [backup-simplify]: Simplify (* (cos (/ 1 re)) 1) into (cos (/ 1 re)) 0.674 * [backup-simplify]: Simplify (* (sin (/ 1 re)) 0) into 0 0.675 * [backup-simplify]: Simplify (- 0) into 0 0.675 * [backup-simplify]: Simplify (+ (cos (/ 1 re)) 0) into (cos (/ 1 re)) 0.675 * [backup-simplify]: Simplify (/ (cos (/ 1 re)) (exp (/ 1 im))) into (/ (cos (/ 1 re)) (exp (/ 1 im))) 0.675 * [backup-simplify]: Simplify (* (cos (/ 1 re)) 1) into (cos (/ 1 re)) 0.675 * [backup-simplify]: Simplify (* (sin (/ 1 re)) 0) into 0 0.675 * [backup-simplify]: Simplify (- 0) into 0 0.675 * [backup-simplify]: Simplify (+ (cos (/ 1 re)) 0) into (cos (/ 1 re)) 0.675 * [backup-simplify]: Simplify (* (cos (/ 1 re)) (exp (/ 1 im))) into (* (cos (/ 1 re)) (exp (/ 1 im))) 0.675 * [backup-simplify]: Simplify (* 0.5 (* (cos (/ 1 re)) (exp (/ 1 im)))) into (* 0.5 (* (cos (/ 1 re)) (exp (/ 1 im)))) 0.675 * [backup-simplify]: Simplify (* 0.5 (/ (cos (/ 1 re)) (exp (/ 1 im)))) into (* 0.5 (/ (cos (/ 1 re)) (exp (/ 1 im)))) 0.676 * [backup-simplify]: Simplify (+ (* 0.5 (* (cos (/ 1 re)) (exp (/ 1 im)))) (* 0.5 (/ (cos (/ 1 re)) (exp (/ 1 im))))) into (+ (* 0.5 (* (cos (/ 1 re)) (exp (/ 1 im)))) (* 0.5 (/ (cos (/ 1 re)) (exp (/ 1 im))))) 0.676 * [backup-simplify]: Simplify (+ (* 0.5 (* (cos (/ 1 re)) (exp (/ 1 im)))) (* 0.5 (/ (cos (/ 1 re)) (exp (/ 1 im))))) into (+ (* 0.5 (* (cos (/ 1 re)) (exp (/ 1 im)))) (* 0.5 (/ (cos (/ 1 re)) (exp (/ 1 im))))) 0.676 * [backup-simplify]: Simplify (- (+ (* (/ 1 im) (/ 0 im)))) into 0 0.677 * [backup-simplify]: Simplify (* (exp (/ 1 im)) (+ (* (/ (pow 0 1) 1)))) into 0 0.677 * [backup-simplify]: Simplify (+ (* (cos (/ 1 re)) 0) (* 0 (exp (/ 1 im)))) into 0 0.677 * [backup-simplify]: Simplify (+ (* 0.5 0) (* 0 (* (cos (/ 1 re)) (exp (/ 1 im))))) into 0 0.677 * [backup-simplify]: Simplify (- (+ (* (/ 1 im) (/ 0 im)))) into 0 0.678 * [backup-simplify]: Simplify (* (exp (/ 1 im)) (+ (* (/ (pow 0 1) 1)))) into 0 0.678 * [backup-simplify]: Simplify (- (/ 0 (exp (/ 1 im))) (+ (* (/ (cos (/ 1 re)) (exp (/ 1 im))) (/ 0 (exp (/ 1 im)))))) into 0 0.678 * [backup-simplify]: Simplify (+ (* 0.5 0) (* 0 (/ (cos (/ 1 re)) (exp (/ 1 im))))) into 0 0.678 * [backup-simplify]: Simplify (+ 0 0) into 0 0.679 * [taylor]: Taking taylor expansion of 0 in im 0.679 * [backup-simplify]: Simplify 0 into 0 0.679 * [backup-simplify]: Simplify 0 into 0 0.679 * [backup-simplify]: Simplify (+ 0) into 0 0.679 * [backup-simplify]: Simplify (+ (* (cos (/ 1 re)) 0) (* 0 1)) into 0 0.679 * [backup-simplify]: Simplify (- (+ (* (/ 1 re) (/ 0 re)))) into 0 0.680 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 0.680 * [backup-simplify]: Simplify (+ (* (sin (/ 1 re)) 0) (* 0 0)) into 0 0.680 * [backup-simplify]: Simplify (- 0) into 0 0.680 * [backup-simplify]: Simplify (+ 0 0) into 0 0.680 * [backup-simplify]: Simplify (+ (* (cos (/ 1 re)) 0) (* 0 (exp (/ 1 im)))) into 0 0.681 * [backup-simplify]: Simplify (+ (* 0.5 0) (* 0 (* (cos (/ 1 re)) (exp (/ 1 im))))) into 0 0.681 * [backup-simplify]: Simplify (+ 0) into 0 0.681 * [backup-simplify]: Simplify (+ (* (cos (/ 1 re)) 0) (* 0 1)) into 0 0.681 * [backup-simplify]: Simplify (- (+ (* (/ 1 re) (/ 0 re)))) into 0 0.682 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 0.684 * [backup-simplify]: Simplify (+ (* (sin (/ 1 re)) 0) (* 0 0)) into 0 0.685 * [backup-simplify]: Simplify (- 0) into 0 0.685 * [backup-simplify]: Simplify (+ 0 0) into 0 0.685 * [backup-simplify]: Simplify (- (/ 0 (exp (/ 1 im))) (+ (* (/ (cos (/ 1 re)) (exp (/ 1 im))) (/ 0 (exp (/ 1 im)))))) into 0 0.685 * [backup-simplify]: Simplify (+ (* 0.5 0) (* 0 (/ (cos (/ 1 re)) (exp (/ 1 im))))) into 0 0.686 * [backup-simplify]: Simplify (+ 0 0) into 0 0.686 * [backup-simplify]: Simplify 0 into 0 0.686 * [backup-simplify]: Simplify (- (+ (* (/ 1 im) (/ 0 im)) (* 0 (/ 0 im)))) into 0 0.687 * [backup-simplify]: Simplify (* (exp (/ 1 im)) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 0.687 * [backup-simplify]: Simplify (+ (* (cos (/ 1 re)) 0) (+ (* 0 0) (* 0 (exp (/ 1 im))))) into 0 0.687 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* 0 0) (* 0 (* (cos (/ 1 re)) (exp (/ 1 im)))))) into 0 0.688 * [backup-simplify]: Simplify (- (+ (* (/ 1 im) (/ 0 im)) (* 0 (/ 0 im)))) into 0 0.688 * [backup-simplify]: Simplify (* (exp (/ 1 im)) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 0.688 * [backup-simplify]: Simplify (- (/ 0 (exp (/ 1 im))) (+ (* (/ (cos (/ 1 re)) (exp (/ 1 im))) (/ 0 (exp (/ 1 im)))) (* 0 (/ 0 (exp (/ 1 im)))))) into 0 0.689 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* 0 0) (* 0 (/ (cos (/ 1 re)) (exp (/ 1 im)))))) into 0 0.689 * [backup-simplify]: Simplify (+ 0 0) into 0 0.689 * [taylor]: Taking taylor expansion of 0 in im 0.689 * [backup-simplify]: Simplify 0 into 0 0.689 * [backup-simplify]: Simplify 0 into 0 0.689 * [backup-simplify]: Simplify 0 into 0 0.690 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0 0.690 * [backup-simplify]: Simplify (+ (* (cos (/ 1 re)) 0) (+ (* 0 0) (* 0 1))) into 0 0.690 * [backup-simplify]: Simplify (- (+ (* (/ 1 re) (/ 0 re)) (* 0 (/ 0 re)))) into 0 0.691 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 0.691 * [backup-simplify]: Simplify (+ (* (sin (/ 1 re)) 0) (+ (* 0 0) (* 0 0))) into 0 0.691 * [backup-simplify]: Simplify (- 0) into 0 0.691 * [backup-simplify]: Simplify (+ 0 0) into 0 0.692 * [backup-simplify]: Simplify (+ (* (cos (/ 1 re)) 0) (+ (* 0 0) (* 0 (exp (/ 1 im))))) into 0 0.692 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* 0 0) (* 0 (* (cos (/ 1 re)) (exp (/ 1 im)))))) into 0 0.693 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0 0.693 * [backup-simplify]: Simplify (+ (* (cos (/ 1 re)) 0) (+ (* 0 0) (* 0 1))) into 0 0.693 * [backup-simplify]: Simplify (- (+ (* (/ 1 re) (/ 0 re)) (* 0 (/ 0 re)))) into 0 0.694 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 0.694 * [backup-simplify]: Simplify (+ (* (sin (/ 1 re)) 0) (+ (* 0 0) (* 0 0))) into 0 0.694 * [backup-simplify]: Simplify (- 0) into 0 0.694 * [backup-simplify]: Simplify (+ 0 0) into 0 0.695 * [backup-simplify]: Simplify (- (/ 0 (exp (/ 1 im))) (+ (* (/ (cos (/ 1 re)) (exp (/ 1 im))) (/ 0 (exp (/ 1 im)))) (* 0 (/ 0 (exp (/ 1 im)))))) into 0 0.695 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* 0 0) (* 0 (/ (cos (/ 1 re)) (exp (/ 1 im)))))) into 0 0.695 * [backup-simplify]: Simplify (+ 0 0) into 0 0.696 * [backup-simplify]: Simplify 0 into 0 0.696 * [backup-simplify]: Simplify (- (+ (* (/ 1 im) (/ 0 im)) (* 0 (/ 0 im)) (* 0 (/ 0 im)))) into 0 0.697 * [backup-simplify]: Simplify (* (exp (/ 1 im)) (+ (* (/ (pow 0 3) 6)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1)))) into 0 0.697 * [backup-simplify]: Simplify (+ (* (cos (/ 1 re)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (exp (/ 1 im)))))) into 0 0.698 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* 0 0) (+ (* 0 0) (* 0 (* (cos (/ 1 re)) (exp (/ 1 im))))))) into 0 0.698 * [backup-simplify]: Simplify (- (+ (* (/ 1 im) (/ 0 im)) (* 0 (/ 0 im)) (* 0 (/ 0 im)))) into 0 0.699 * [backup-simplify]: Simplify (* (exp (/ 1 im)) (+ (* (/ (pow 0 3) 6)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1)))) into 0 0.699 * [backup-simplify]: Simplify (- (/ 0 (exp (/ 1 im))) (+ (* (/ (cos (/ 1 re)) (exp (/ 1 im))) (/ 0 (exp (/ 1 im)))) (* 0 (/ 0 (exp (/ 1 im)))) (* 0 (/ 0 (exp (/ 1 im)))))) into 0 0.700 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ (cos (/ 1 re)) (exp (/ 1 im))))))) into 0 0.700 * [backup-simplify]: Simplify (+ 0 0) into 0 0.700 * [taylor]: Taking taylor expansion of 0 in im 0.700 * [backup-simplify]: Simplify 0 into 0 0.700 * [backup-simplify]: Simplify 0 into 0 0.700 * [backup-simplify]: Simplify (+ (* 0.5 (* (cos (/ 1 (/ 1 re))) (exp (/ 1 (/ 1 im))))) (* 0.5 (/ (cos (/ 1 (/ 1 re))) (exp (/ 1 (/ 1 im)))))) into (+ (* 0.5 (* (exp im) (cos re))) (* 0.5 (/ (cos re) (exp im)))) 0.701 * [backup-simplify]: Simplify (+ (/ (* 0.5 (cos (/ 1 (- re)))) (exp (/ 1 (- im)))) (* (* 0.5 (cos (/ 1 (- re)))) (exp (/ 1 (- im))))) into (+ (* 0.5 (/ (cos (/ -1 re)) (exp (/ -1 im)))) (* 0.5 (* (exp (/ -1 im)) (cos (/ -1 re))))) 0.701 * [approximate]: Taking taylor expansion of (+ (* 0.5 (/ (cos (/ -1 re)) (exp (/ -1 im)))) (* 0.5 (* (exp (/ -1 im)) (cos (/ -1 re))))) in (re im) around 0 0.701 * [taylor]: Taking taylor expansion of (+ (* 0.5 (/ (cos (/ -1 re)) (exp (/ -1 im)))) (* 0.5 (* (exp (/ -1 im)) (cos (/ -1 re))))) in im 0.701 * [taylor]: Taking taylor expansion of (* 0.5 (/ (cos (/ -1 re)) (exp (/ -1 im)))) in im 0.701 * [taylor]: Taking taylor expansion of 0.5 in im 0.701 * [backup-simplify]: Simplify 0.5 into 0.5 0.701 * [taylor]: Taking taylor expansion of (/ (cos (/ -1 re)) (exp (/ -1 im))) in im 0.701 * [taylor]: Taking taylor expansion of (cos (/ -1 re)) in im 0.701 * [taylor]: Taking taylor expansion of (/ -1 re) in im 0.701 * [taylor]: Taking taylor expansion of -1 in im 0.701 * [backup-simplify]: Simplify -1 into -1 0.701 * [taylor]: Taking taylor expansion of re in im 0.701 * [backup-simplify]: Simplify re into re 0.701 * [backup-simplify]: Simplify (/ -1 re) into (/ -1 re) 0.701 * [backup-simplify]: Simplify (cos (/ -1 re)) into (cos (/ -1 re)) 0.701 * [backup-simplify]: Simplify (sin (/ -1 re)) into (sin (/ -1 re)) 0.701 * [taylor]: Taking taylor expansion of (exp (/ -1 im)) in im 0.701 * [taylor]: Taking taylor expansion of (/ -1 im) in im 0.701 * [taylor]: Taking taylor expansion of -1 in im 0.701 * [backup-simplify]: Simplify -1 into -1 0.701 * [taylor]: Taking taylor expansion of im in im 0.701 * [backup-simplify]: Simplify 0 into 0 0.701 * [backup-simplify]: Simplify 1 into 1 0.701 * [backup-simplify]: Simplify (/ -1 1) into -1 0.701 * [backup-simplify]: Simplify (exp (/ -1 im)) into (exp (/ -1 im)) 0.701 * [backup-simplify]: Simplify (* (cos (/ -1 re)) 1) into (cos (/ -1 re)) 0.702 * [backup-simplify]: Simplify (* (sin (/ -1 re)) 0) into 0 0.702 * [backup-simplify]: Simplify (- 0) into 0 0.702 * [backup-simplify]: Simplify (+ (cos (/ -1 re)) 0) into (cos (/ -1 re)) 0.702 * [backup-simplify]: Simplify (/ (cos (/ -1 re)) (exp (/ -1 im))) into (/ (cos (/ -1 re)) (exp (/ -1 im))) 0.702 * [taylor]: Taking taylor expansion of (* 0.5 (* (exp (/ -1 im)) (cos (/ -1 re)))) in im 0.702 * [taylor]: Taking taylor expansion of 0.5 in im 0.702 * [backup-simplify]: Simplify 0.5 into 0.5 0.702 * [taylor]: Taking taylor expansion of (* (exp (/ -1 im)) (cos (/ -1 re))) in im 0.702 * [taylor]: Taking taylor expansion of (exp (/ -1 im)) in im 0.702 * [taylor]: Taking taylor expansion of (/ -1 im) in im 0.702 * [taylor]: Taking taylor expansion of -1 in im 0.702 * [backup-simplify]: Simplify -1 into -1 0.702 * [taylor]: Taking taylor expansion of im in im 0.702 * [backup-simplify]: Simplify 0 into 0 0.702 * [backup-simplify]: Simplify 1 into 1 0.702 * [backup-simplify]: Simplify (/ -1 1) into -1 0.702 * [backup-simplify]: Simplify (exp (/ -1 im)) into (exp (/ -1 im)) 0.702 * [taylor]: Taking taylor expansion of (cos (/ -1 re)) in im 0.702 * [taylor]: Taking taylor expansion of (/ -1 re) in im 0.702 * [taylor]: Taking taylor expansion of -1 in im 0.702 * [backup-simplify]: Simplify -1 into -1 0.703 * [taylor]: Taking taylor expansion of re in im 0.703 * [backup-simplify]: Simplify re into re 0.703 * [backup-simplify]: Simplify (/ -1 re) into (/ -1 re) 0.703 * [backup-simplify]: Simplify (cos (/ -1 re)) into (cos (/ -1 re)) 0.703 * [backup-simplify]: Simplify (sin (/ -1 re)) into (sin (/ -1 re)) 0.703 * [taylor]: Taking taylor expansion of (+ (* 0.5 (/ (cos (/ -1 re)) (exp (/ -1 im)))) (* 0.5 (* (exp (/ -1 im)) (cos (/ -1 re))))) in re 0.703 * [taylor]: Taking taylor expansion of (* 0.5 (/ (cos (/ -1 re)) (exp (/ -1 im)))) in re 0.703 * [taylor]: Taking taylor expansion of 0.5 in re 0.703 * [backup-simplify]: Simplify 0.5 into 0.5 0.703 * [taylor]: Taking taylor expansion of (/ (cos (/ -1 re)) (exp (/ -1 im))) in re 0.703 * [taylor]: Taking taylor expansion of (cos (/ -1 re)) in re 0.703 * [taylor]: Taking taylor expansion of (/ -1 re) in re 0.703 * [taylor]: Taking taylor expansion of -1 in re 0.703 * [backup-simplify]: Simplify -1 into -1 0.703 * [taylor]: Taking taylor expansion of re in re 0.703 * [backup-simplify]: Simplify 0 into 0 0.703 * [backup-simplify]: Simplify 1 into 1 0.703 * [backup-simplify]: Simplify (/ -1 1) into -1 0.703 * [backup-simplify]: Simplify (cos (/ -1 re)) into (cos (/ -1 re)) 0.703 * [taylor]: Taking taylor expansion of (exp (/ -1 im)) in re 0.703 * [taylor]: Taking taylor expansion of (/ -1 im) in re 0.703 * [taylor]: Taking taylor expansion of -1 in re 0.703 * [backup-simplify]: Simplify -1 into -1 0.703 * [taylor]: Taking taylor expansion of im in re 0.703 * [backup-simplify]: Simplify im into im 0.703 * [backup-simplify]: Simplify (/ -1 im) into (/ -1 im) 0.703 * [backup-simplify]: Simplify (exp (/ -1 im)) into (exp (/ -1 im)) 0.703 * [backup-simplify]: Simplify (/ (cos (/ -1 re)) (exp (/ -1 im))) into (/ (cos (/ -1 re)) (exp (/ -1 im))) 0.703 * [taylor]: Taking taylor expansion of (* 0.5 (* (exp (/ -1 im)) (cos (/ -1 re)))) in re 0.703 * [taylor]: Taking taylor expansion of 0.5 in re 0.703 * [backup-simplify]: Simplify 0.5 into 0.5 0.703 * [taylor]: Taking taylor expansion of (* (exp (/ -1 im)) (cos (/ -1 re))) in re 0.703 * [taylor]: Taking taylor expansion of (exp (/ -1 im)) in re 0.703 * [taylor]: Taking taylor expansion of (/ -1 im) in re 0.704 * [taylor]: Taking taylor expansion of -1 in re 0.704 * [backup-simplify]: Simplify -1 into -1 0.704 * [taylor]: Taking taylor expansion of im in re 0.704 * [backup-simplify]: Simplify im into im 0.704 * [backup-simplify]: Simplify (/ -1 im) into (/ -1 im) 0.704 * [backup-simplify]: Simplify (exp (/ -1 im)) into (exp (/ -1 im)) 0.704 * [taylor]: Taking taylor expansion of (cos (/ -1 re)) in re 0.704 * [taylor]: Taking taylor expansion of (/ -1 re) in re 0.704 * [taylor]: Taking taylor expansion of -1 in re 0.704 * [backup-simplify]: Simplify -1 into -1 0.704 * [taylor]: Taking taylor expansion of re in re 0.704 * [backup-simplify]: Simplify 0 into 0 0.704 * [backup-simplify]: Simplify 1 into 1 0.704 * [backup-simplify]: Simplify (/ -1 1) into -1 0.704 * [backup-simplify]: Simplify (cos (/ -1 re)) into (cos (/ -1 re)) 0.704 * [taylor]: Taking taylor expansion of (+ (* 0.5 (/ (cos (/ -1 re)) (exp (/ -1 im)))) (* 0.5 (* (exp (/ -1 im)) (cos (/ -1 re))))) in re 0.704 * [taylor]: Taking taylor expansion of (* 0.5 (/ (cos (/ -1 re)) (exp (/ -1 im)))) in re 0.704 * [taylor]: Taking taylor expansion of 0.5 in re 0.704 * [backup-simplify]: Simplify 0.5 into 0.5 0.704 * [taylor]: Taking taylor expansion of (/ (cos (/ -1 re)) (exp (/ -1 im))) in re 0.704 * [taylor]: Taking taylor expansion of (cos (/ -1 re)) in re 0.704 * [taylor]: Taking taylor expansion of (/ -1 re) in re 0.704 * [taylor]: Taking taylor expansion of -1 in re 0.704 * [backup-simplify]: Simplify -1 into -1 0.704 * [taylor]: Taking taylor expansion of re in re 0.704 * [backup-simplify]: Simplify 0 into 0 0.704 * [backup-simplify]: Simplify 1 into 1 0.704 * [backup-simplify]: Simplify (/ -1 1) into -1 0.705 * [backup-simplify]: Simplify (cos (/ -1 re)) into (cos (/ -1 re)) 0.705 * [taylor]: Taking taylor expansion of (exp (/ -1 im)) in re 0.705 * [taylor]: Taking taylor expansion of (/ -1 im) in re 0.705 * [taylor]: Taking taylor expansion of -1 in re 0.705 * [backup-simplify]: Simplify -1 into -1 0.705 * [taylor]: Taking taylor expansion of im in re 0.705 * [backup-simplify]: Simplify im into im 0.705 * [backup-simplify]: Simplify (/ -1 im) into (/ -1 im) 0.705 * [backup-simplify]: Simplify (exp (/ -1 im)) into (exp (/ -1 im)) 0.705 * [backup-simplify]: Simplify (/ (cos (/ -1 re)) (exp (/ -1 im))) into (/ (cos (/ -1 re)) (exp (/ -1 im))) 0.705 * [taylor]: Taking taylor expansion of (* 0.5 (* (exp (/ -1 im)) (cos (/ -1 re)))) in re 0.705 * [taylor]: Taking taylor expansion of 0.5 in re 0.705 * [backup-simplify]: Simplify 0.5 into 0.5 0.705 * [taylor]: Taking taylor expansion of (* (exp (/ -1 im)) (cos (/ -1 re))) in re 0.705 * [taylor]: Taking taylor expansion of (exp (/ -1 im)) in re 0.705 * [taylor]: Taking taylor expansion of (/ -1 im) in re 0.705 * [taylor]: Taking taylor expansion of -1 in re 0.705 * [backup-simplify]: Simplify -1 into -1 0.705 * [taylor]: Taking taylor expansion of im in re 0.705 * [backup-simplify]: Simplify im into im 0.705 * [backup-simplify]: Simplify (/ -1 im) into (/ -1 im) 0.705 * [backup-simplify]: Simplify (exp (/ -1 im)) into (exp (/ -1 im)) 0.705 * [taylor]: Taking taylor expansion of (cos (/ -1 re)) in re 0.705 * [taylor]: Taking taylor expansion of (/ -1 re) in re 0.705 * [taylor]: Taking taylor expansion of -1 in re 0.705 * [backup-simplify]: Simplify -1 into -1 0.705 * [taylor]: Taking taylor expansion of re in re 0.705 * [backup-simplify]: Simplify 0 into 0 0.705 * [backup-simplify]: Simplify 1 into 1 0.705 * [backup-simplify]: Simplify (/ -1 1) into -1 0.705 * [backup-simplify]: Simplify (cos (/ -1 re)) into (cos (/ -1 re)) 0.706 * [backup-simplify]: Simplify (* 0.5 (/ (cos (/ -1 re)) (exp (/ -1 im)))) into (* 0.5 (/ (cos (/ -1 re)) (exp (/ -1 im)))) 0.706 * [backup-simplify]: Simplify (* (exp (/ -1 im)) (cos (/ -1 re))) into (* (exp (/ -1 im)) (cos (/ -1 re))) 0.706 * [backup-simplify]: Simplify (* 0.5 (* (exp (/ -1 im)) (cos (/ -1 re)))) into (* 0.5 (* (exp (/ -1 im)) (cos (/ -1 re)))) 0.706 * [backup-simplify]: Simplify (+ (* 0.5 (/ (cos (/ -1 re)) (exp (/ -1 im)))) (* 0.5 (* (exp (/ -1 im)) (cos (/ -1 re))))) into (+ (* 0.5 (/ (cos (/ -1 re)) (exp (/ -1 im)))) (* 0.5 (* (exp (/ -1 im)) (cos (/ -1 re))))) 0.706 * [taylor]: Taking taylor expansion of (+ (* 0.5 (/ (cos (/ -1 re)) (exp (/ -1 im)))) (* 0.5 (* (exp (/ -1 im)) (cos (/ -1 re))))) in im 0.706 * [taylor]: Taking taylor expansion of (* 0.5 (/ (cos (/ -1 re)) (exp (/ -1 im)))) in im 0.706 * [taylor]: Taking taylor expansion of 0.5 in im 0.706 * [backup-simplify]: Simplify 0.5 into 0.5 0.706 * [taylor]: Taking taylor expansion of (/ (cos (/ -1 re)) (exp (/ -1 im))) in im 0.706 * [taylor]: Taking taylor expansion of (cos (/ -1 re)) in im 0.706 * [taylor]: Taking taylor expansion of (/ -1 re) in im 0.706 * [taylor]: Taking taylor expansion of -1 in im 0.706 * [backup-simplify]: Simplify -1 into -1 0.706 * [taylor]: Taking taylor expansion of re in im 0.706 * [backup-simplify]: Simplify re into re 0.706 * [backup-simplify]: Simplify (/ -1 re) into (/ -1 re) 0.706 * [backup-simplify]: Simplify (cos (/ -1 re)) into (cos (/ -1 re)) 0.706 * [backup-simplify]: Simplify (sin (/ -1 re)) into (sin (/ -1 re)) 0.706 * [taylor]: Taking taylor expansion of (exp (/ -1 im)) in im 0.706 * [taylor]: Taking taylor expansion of (/ -1 im) in im 0.706 * [taylor]: Taking taylor expansion of -1 in im 0.706 * [backup-simplify]: Simplify -1 into -1 0.706 * [taylor]: Taking taylor expansion of im in im 0.706 * [backup-simplify]: Simplify 0 into 0 0.706 * [backup-simplify]: Simplify 1 into 1 0.707 * [backup-simplify]: Simplify (/ -1 1) into -1 0.707 * [backup-simplify]: Simplify (exp (/ -1 im)) into (exp (/ -1 im)) 0.707 * [backup-simplify]: Simplify (* (cos (/ -1 re)) 1) into (cos (/ -1 re)) 0.707 * [backup-simplify]: Simplify (* (sin (/ -1 re)) 0) into 0 0.707 * [backup-simplify]: Simplify (- 0) into 0 0.707 * [backup-simplify]: Simplify (+ (cos (/ -1 re)) 0) into (cos (/ -1 re)) 0.707 * [backup-simplify]: Simplify (/ (cos (/ -1 re)) (exp (/ -1 im))) into (/ (cos (/ -1 re)) (exp (/ -1 im))) 0.707 * [taylor]: Taking taylor expansion of (* 0.5 (* (exp (/ -1 im)) (cos (/ -1 re)))) in im 0.707 * [taylor]: Taking taylor expansion of 0.5 in im 0.707 * [backup-simplify]: Simplify 0.5 into 0.5 0.707 * [taylor]: Taking taylor expansion of (* (exp (/ -1 im)) (cos (/ -1 re))) in im 0.707 * [taylor]: Taking taylor expansion of (exp (/ -1 im)) in im 0.707 * [taylor]: Taking taylor expansion of (/ -1 im) in im 0.707 * [taylor]: Taking taylor expansion of -1 in im 0.707 * [backup-simplify]: Simplify -1 into -1 0.707 * [taylor]: Taking taylor expansion of im in im 0.707 * [backup-simplify]: Simplify 0 into 0 0.707 * [backup-simplify]: Simplify 1 into 1 0.708 * [backup-simplify]: Simplify (/ -1 1) into -1 0.708 * [backup-simplify]: Simplify (exp (/ -1 im)) into (exp (/ -1 im)) 0.708 * [taylor]: Taking taylor expansion of (cos (/ -1 re)) in im 0.708 * [taylor]: Taking taylor expansion of (/ -1 re) in im 0.708 * [taylor]: Taking taylor expansion of -1 in im 0.708 * [backup-simplify]: Simplify -1 into -1 0.708 * [taylor]: Taking taylor expansion of re in im 0.708 * [backup-simplify]: Simplify re into re 0.708 * [backup-simplify]: Simplify (/ -1 re) into (/ -1 re) 0.708 * [backup-simplify]: Simplify (cos (/ -1 re)) into (cos (/ -1 re)) 0.708 * [backup-simplify]: Simplify (sin (/ -1 re)) into (sin (/ -1 re)) 0.708 * [backup-simplify]: Simplify (* 0.5 (/ (cos (/ -1 re)) (exp (/ -1 im)))) into (* 0.5 (/ (cos (/ -1 re)) (exp (/ -1 im)))) 0.708 * [backup-simplify]: Simplify (* (cos (/ -1 re)) 1) into (cos (/ -1 re)) 0.708 * [backup-simplify]: Simplify (* (sin (/ -1 re)) 0) into 0 0.708 * [backup-simplify]: Simplify (- 0) into 0 0.708 * [backup-simplify]: Simplify (+ (cos (/ -1 re)) 0) into (cos (/ -1 re)) 0.708 * [backup-simplify]: Simplify (* (exp (/ -1 im)) (cos (/ -1 re))) into (* (exp (/ -1 im)) (cos (/ -1 re))) 0.709 * [backup-simplify]: Simplify (* 0.5 (* (exp (/ -1 im)) (cos (/ -1 re)))) into (* 0.5 (* (exp (/ -1 im)) (cos (/ -1 re)))) 0.709 * [backup-simplify]: Simplify (+ (* 0.5 (/ (cos (/ -1 re)) (exp (/ -1 im)))) (* 0.5 (* (exp (/ -1 im)) (cos (/ -1 re))))) into (+ (* 0.5 (/ (cos (/ -1 re)) (exp (/ -1 im)))) (* 0.5 (* (exp (/ -1 im)) (cos (/ -1 re))))) 0.709 * [backup-simplify]: Simplify (+ (* 0.5 (/ (cos (/ -1 re)) (exp (/ -1 im)))) (* 0.5 (* (exp (/ -1 im)) (cos (/ -1 re))))) into (+ (* 0.5 (/ (cos (/ -1 re)) (exp (/ -1 im)))) (* 0.5 (* (exp (/ -1 im)) (cos (/ -1 re))))) 0.709 * [backup-simplify]: Simplify (- (/ 0 im) (+ (* (/ -1 im) (/ 0 im)))) into 0 0.710 * [backup-simplify]: Simplify (* (exp (/ -1 im)) (+ (* (/ (pow 0 1) 1)))) into 0 0.710 * [backup-simplify]: Simplify (- (/ 0 (exp (/ -1 im))) (+ (* (/ (cos (/ -1 re)) (exp (/ -1 im))) (/ 0 (exp (/ -1 im)))))) into 0 0.710 * [backup-simplify]: Simplify (+ (* 0.5 0) (* 0 (/ (cos (/ -1 re)) (exp (/ -1 im))))) into 0 0.710 * [backup-simplify]: Simplify (- (/ 0 im) (+ (* (/ -1 im) (/ 0 im)))) into 0 0.711 * [backup-simplify]: Simplify (* (exp (/ -1 im)) (+ (* (/ (pow 0 1) 1)))) into 0 0.711 * [backup-simplify]: Simplify (+ (* (exp (/ -1 im)) 0) (* 0 (cos (/ -1 re)))) into 0 0.711 * [backup-simplify]: Simplify (+ (* 0.5 0) (* 0 (* (exp (/ -1 im)) (cos (/ -1 re))))) into 0 0.711 * [backup-simplify]: Simplify (+ 0 0) into 0 0.711 * [taylor]: Taking taylor expansion of 0 in im 0.711 * [backup-simplify]: Simplify 0 into 0 0.711 * [backup-simplify]: Simplify 0 into 0 0.712 * [backup-simplify]: Simplify (+ 0) into 0 0.712 * [backup-simplify]: Simplify (+ (* (cos (/ -1 re)) 0) (* 0 1)) into 0 0.712 * [backup-simplify]: Simplify (- (/ 0 re) (+ (* (/ -1 re) (/ 0 re)))) into 0 0.712 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 0.713 * [backup-simplify]: Simplify (+ (* (sin (/ -1 re)) 0) (* 0 0)) into 0 0.713 * [backup-simplify]: Simplify (- 0) into 0 0.713 * [backup-simplify]: Simplify (+ 0 0) into 0 0.713 * [backup-simplify]: Simplify (- (/ 0 (exp (/ -1 im))) (+ (* (/ (cos (/ -1 re)) (exp (/ -1 im))) (/ 0 (exp (/ -1 im)))))) into 0 0.714 * [backup-simplify]: Simplify (+ (* 0.5 0) (* 0 (/ (cos (/ -1 re)) (exp (/ -1 im))))) into 0 0.714 * [backup-simplify]: Simplify (+ 0) into 0 0.714 * [backup-simplify]: Simplify (+ (* (cos (/ -1 re)) 0) (* 0 1)) into 0 0.714 * [backup-simplify]: Simplify (- (/ 0 re) (+ (* (/ -1 re) (/ 0 re)))) into 0 0.715 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 0.715 * [backup-simplify]: Simplify (+ (* (sin (/ -1 re)) 0) (* 0 0)) into 0 0.715 * [backup-simplify]: Simplify (- 0) into 0 0.715 * [backup-simplify]: Simplify (+ 0 0) into 0 0.715 * [backup-simplify]: Simplify (+ (* (exp (/ -1 im)) 0) (* 0 (cos (/ -1 re)))) into 0 0.716 * [backup-simplify]: Simplify (+ (* 0.5 0) (* 0 (* (exp (/ -1 im)) (cos (/ -1 re))))) into 0 0.716 * [backup-simplify]: Simplify (+ 0 0) into 0 0.716 * [backup-simplify]: Simplify 0 into 0 0.716 * [backup-simplify]: Simplify (- (/ 0 im) (+ (* (/ -1 im) (/ 0 im)) (* 0 (/ 0 im)))) into 0 0.717 * [backup-simplify]: Simplify (* (exp (/ -1 im)) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 0.717 * [backup-simplify]: Simplify (- (/ 0 (exp (/ -1 im))) (+ (* (/ (cos (/ -1 re)) (exp (/ -1 im))) (/ 0 (exp (/ -1 im)))) (* 0 (/ 0 (exp (/ -1 im)))))) into 0 0.718 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* 0 0) (* 0 (/ (cos (/ -1 re)) (exp (/ -1 im)))))) into 0 0.718 * [backup-simplify]: Simplify (- (/ 0 im) (+ (* (/ -1 im) (/ 0 im)) (* 0 (/ 0 im)))) into 0 0.718 * [backup-simplify]: Simplify (* (exp (/ -1 im)) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 0.719 * [backup-simplify]: Simplify (+ (* (exp (/ -1 im)) 0) (+ (* 0 0) (* 0 (cos (/ -1 re))))) into 0 0.719 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* 0 0) (* 0 (* (exp (/ -1 im)) (cos (/ -1 re)))))) into 0 0.720 * [backup-simplify]: Simplify (+ 0 0) into 0 0.720 * [taylor]: Taking taylor expansion of 0 in im 0.720 * [backup-simplify]: Simplify 0 into 0 0.720 * [backup-simplify]: Simplify 0 into 0 0.720 * [backup-simplify]: Simplify 0 into 0 0.720 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0 0.721 * [backup-simplify]: Simplify (+ (* (cos (/ -1 re)) 0) (+ (* 0 0) (* 0 1))) into 0 0.721 * [backup-simplify]: Simplify (- (/ 0 re) (+ (* (/ -1 re) (/ 0 re)) (* 0 (/ 0 re)))) into 0 0.721 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 0.721 * [backup-simplify]: Simplify (+ (* (sin (/ -1 re)) 0) (+ (* 0 0) (* 0 0))) into 0 0.722 * [backup-simplify]: Simplify (- 0) into 0 0.722 * [backup-simplify]: Simplify (+ 0 0) into 0 0.722 * [backup-simplify]: Simplify (- (/ 0 (exp (/ -1 im))) (+ (* (/ (cos (/ -1 re)) (exp (/ -1 im))) (/ 0 (exp (/ -1 im)))) (* 0 (/ 0 (exp (/ -1 im)))))) into 0 0.723 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* 0 0) (* 0 (/ (cos (/ -1 re)) (exp (/ -1 im)))))) into 0 0.723 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0 0.723 * [backup-simplify]: Simplify (+ (* (cos (/ -1 re)) 0) (+ (* 0 0) (* 0 1))) into 0 0.724 * [backup-simplify]: Simplify (- (/ 0 re) (+ (* (/ -1 re) (/ 0 re)) (* 0 (/ 0 re)))) into 0 0.724 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 0.724 * [backup-simplify]: Simplify (+ (* (sin (/ -1 re)) 0) (+ (* 0 0) (* 0 0))) into 0 0.725 * [backup-simplify]: Simplify (- 0) into 0 0.725 * [backup-simplify]: Simplify (+ 0 0) into 0 0.725 * [backup-simplify]: Simplify (+ (* (exp (/ -1 im)) 0) (+ (* 0 0) (* 0 (cos (/ -1 re))))) into 0 0.726 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* 0 0) (* 0 (* (exp (/ -1 im)) (cos (/ -1 re)))))) into 0 0.726 * [backup-simplify]: Simplify (+ 0 0) into 0 0.726 * [backup-simplify]: Simplify 0 into 0 0.726 * [backup-simplify]: Simplify (- (/ 0 im) (+ (* (/ -1 im) (/ 0 im)) (* 0 (/ 0 im)) (* 0 (/ 0 im)))) into 0 0.727 * [backup-simplify]: Simplify (* (exp (/ -1 im)) (+ (* (/ (pow 0 3) 6)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1)))) into 0 0.728 * [backup-simplify]: Simplify (- (/ 0 (exp (/ -1 im))) (+ (* (/ (cos (/ -1 re)) (exp (/ -1 im))) (/ 0 (exp (/ -1 im)))) (* 0 (/ 0 (exp (/ -1 im)))) (* 0 (/ 0 (exp (/ -1 im)))))) into 0 0.728 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ (cos (/ -1 re)) (exp (/ -1 im))))))) into 0 0.729 * [backup-simplify]: Simplify (- (/ 0 im) (+ (* (/ -1 im) (/ 0 im)) (* 0 (/ 0 im)) (* 0 (/ 0 im)))) into 0 0.729 * [backup-simplify]: Simplify (* (exp (/ -1 im)) (+ (* (/ (pow 0 3) 6)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1)))) into 0 0.730 * [backup-simplify]: Simplify (+ (* (exp (/ -1 im)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (cos (/ -1 re)))))) into 0 0.731 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* 0 0) (+ (* 0 0) (* 0 (* (exp (/ -1 im)) (cos (/ -1 re))))))) into 0 0.731 * [backup-simplify]: Simplify (+ 0 0) into 0 0.731 * [taylor]: Taking taylor expansion of 0 in im 0.731 * [backup-simplify]: Simplify 0 into 0 0.731 * [backup-simplify]: Simplify 0 into 0 0.731 * [backup-simplify]: Simplify (+ (* 0.5 (/ (cos (/ -1 (/ 1 (- re)))) (exp (/ -1 (/ 1 (- im)))))) (* 0.5 (* (exp (/ -1 (/ 1 (- im)))) (cos (/ -1 (/ 1 (- re))))))) into (+ (* 0.5 (* (exp im) (cos re))) (* 0.5 (/ (cos re) (exp im)))) 0.731 * * * [progress]: simplifying candidates 0.732 * [simplify]: Simplifying: (expm1 (/ (* 0.5 (cos re)) (exp im))) (log1p (/ (* 0.5 (cos re)) (exp im))) (- (+ (log 0.5) (log (cos re))) im) (- (log (* 0.5 (cos re))) im) (log (/ (* 0.5 (cos re)) (exp im))) (exp (/ (* 0.5 (cos re)) (exp im))) (/ (* (* (* 0.5 0.5) 0.5) (* (* (cos re) (cos re)) (cos re))) (* (* (exp im) (exp im)) (exp im))) (/ (* (* (* 0.5 (cos re)) (* 0.5 (cos re))) (* 0.5 (cos re))) (* (* (exp im) (exp im)) (exp im))) (* (cbrt (/ (* 0.5 (cos re)) (exp im))) (cbrt (/ (* 0.5 (cos re)) (exp im)))) (cbrt (/ (* 0.5 (cos re)) (exp im))) (* (* (/ (* 0.5 (cos re)) (exp im)) (/ (* 0.5 (cos re)) (exp im))) (/ (* 0.5 (cos re)) (exp im))) (sqrt (/ (* 0.5 (cos re)) (exp im))) (sqrt (/ (* 0.5 (cos re)) (exp im))) (- (* 0.5 (cos re))) (- (exp im)) (/ 0.5 (* (cbrt (exp im)) (cbrt (exp im)))) (/ (cos re) (cbrt (exp im))) (/ 0.5 (sqrt (exp im))) (/ (cos re) (sqrt (exp im))) (/ 0.5 1) (/ (cos re) (exp im)) (/ 1 (exp im)) (/ (exp im) (* 0.5 (cos re))) (/ (* 0.5 (cos re)) (* (cbrt (exp im)) (cbrt (exp im)))) (/ (* 0.5 (cos re)) (sqrt (exp im))) (/ (* 0.5 (cos re)) 1) (/ (exp im) (cos re)) (expm1 (* (* 0.5 (cos re)) (exp im))) (log1p (* (* 0.5 (cos re)) (exp im))) (* (* 0.5 (cos re)) (exp im)) (* (* 0.5 (cos re)) (exp im)) (+ (+ (log 0.5) (log (cos re))) im) (+ (log (* 0.5 (cos re))) im) (log (* (* 0.5 (cos re)) (exp im))) (exp (* (* 0.5 (cos re)) (exp im))) (* (* (* (* 0.5 0.5) 0.5) (* (* (cos re) (cos re)) (cos re))) (* (* (exp im) (exp im)) (exp im))) (* (* (* (* 0.5 (cos re)) (* 0.5 (cos re))) (* 0.5 (cos re))) (* (* (exp im) (exp im)) (exp im))) (* (cbrt (* (* 0.5 (cos re)) (exp im))) (cbrt (* (* 0.5 (cos re)) (exp im)))) (cbrt (* (* 0.5 (cos re)) (exp im))) (* (* (* (* 0.5 (cos re)) (exp im)) (* (* 0.5 (cos re)) (exp im))) (* (* 0.5 (cos re)) (exp im))) (sqrt (* (* 0.5 (cos re)) (exp im))) (sqrt (* (* 0.5 (cos re)) (exp im))) (* (* 0.5 (cos re)) (* (cbrt (exp im)) (cbrt (exp im)))) (* (* 0.5 (cos re)) (sqrt (exp im))) (* (* 0.5 (cos re)) 1) (* (cos re) (exp im)) (expm1 (+ (/ (* 0.5 (cos re)) (exp im)) (* (* 0.5 (cos re)) (exp im)))) (log1p (+ (/ (* 0.5 (cos re)) (exp im)) (* (* 0.5 (cos re)) (exp im)))) (* (exp (/ (* 0.5 (cos re)) (exp im))) (exp (* (* 0.5 (cos re)) (exp im)))) (log (+ (/ (* 0.5 (cos re)) (exp im)) (* (* 0.5 (cos re)) (exp im)))) (exp (+ (/ (* 0.5 (cos re)) (exp im)) (* (* 0.5 (cos re)) (exp im)))) (* (cbrt (+ (/ (* 0.5 (cos re)) (exp im)) (* (* 0.5 (cos re)) (exp im)))) (cbrt (+ (/ (* 0.5 (cos re)) (exp im)) (* (* 0.5 (cos re)) (exp im))))) (cbrt (+ (/ (* 0.5 (cos re)) (exp im)) (* (* 0.5 (cos re)) (exp im)))) (* (* (+ (/ (* 0.5 (cos re)) (exp im)) (* (* 0.5 (cos re)) (exp im))) (+ (/ (* 0.5 (cos re)) (exp im)) (* (* 0.5 (cos re)) (exp im)))) (+ (/ (* 0.5 (cos re)) (exp im)) (* (* 0.5 (cos re)) (exp im)))) (sqrt (+ (/ (* 0.5 (cos re)) (exp im)) (* (* 0.5 (cos re)) (exp im)))) (sqrt (+ (/ (* 0.5 (cos re)) (exp im)) (* (* 0.5 (cos re)) (exp im)))) (+ (pow (/ (* 0.5 (cos re)) (exp im)) 3) (pow (* (* 0.5 (cos re)) (exp im)) 3)) (+ (* (/ (* 0.5 (cos re)) (exp im)) (/ (* 0.5 (cos re)) (exp im))) (- (* (* (* 0.5 (cos re)) (exp im)) (* (* 0.5 (cos re)) (exp im))) (* (/ (* 0.5 (cos re)) (exp im)) (* (* 0.5 (cos re)) (exp im))))) (- (* (/ (* 0.5 (cos re)) (exp im)) (/ (* 0.5 (cos re)) (exp im))) (* (* (* 0.5 (cos re)) (exp im)) (* (* 0.5 (cos re)) (exp im)))) (- (/ (* 0.5 (cos re)) (exp im)) (* (* 0.5 (cos re)) (exp im))) (+ (/ 1 (exp im)) (exp im)) (- 0.5 (+ (* 0.25 (pow re 2)) (* 0.5 im))) (* 0.5 (/ (cos re) (exp im))) (* 0.5 (/ (cos re) (exp im))) (- (+ (* 0.5 im) 0.5) (* 0.25 (pow re 2))) (* 0.5 (* (exp im) (cos re))) (* 0.5 (* (exp im) (cos re))) (- (+ (* 0.5 (pow im 2)) 1.0) (* 0.5 (pow re 2))) (+ (* 0.5 (* (exp im) (cos re))) (* 0.5 (/ (cos re) (exp im)))) (+ (* 0.5 (* (exp im) (cos re))) (* 0.5 (/ (cos re) (exp im)))) 0.733 * [simplify]: Sending expressions to egg_math: (expm1 (/ (* h2 (cos h1)) (exp h0))) (log1p (/ (* h2 (cos h1)) (exp h0))) (- (+ (log h2) (log (cos h1))) h0) (- (log (* h2 (cos h1))) h0) (log (/ (* h2 (cos h1)) (exp h0))) (exp (/ (* h2 (cos h1)) (exp h0))) (/ (* (* (* h2 h2) h2) (* (* (cos h1) (cos h1)) (cos h1))) (* (* (exp h0) (exp h0)) (exp h0))) (/ (* (* (* h2 (cos h1)) (* h2 (cos h1))) (* h2 (cos h1))) (* (* (exp h0) (exp h0)) (exp h0))) (* (cbrt (/ (* h2 (cos h1)) (exp h0))) (cbrt (/ (* h2 (cos h1)) (exp h0)))) (cbrt (/ (* h2 (cos h1)) (exp h0))) (* (* (/ (* h2 (cos h1)) (exp h0)) (/ (* h2 (cos h1)) (exp h0))) (/ (* h2 (cos h1)) (exp h0))) (sqrt (/ (* h2 (cos h1)) (exp h0))) (sqrt (/ (* h2 (cos h1)) (exp h0))) (- (* h2 (cos h1))) (- (exp h0)) (/ h2 (* (cbrt (exp h0)) (cbrt (exp h0)))) (/ (cos h1) (cbrt (exp h0))) (/ h2 (sqrt (exp h0))) (/ (cos h1) (sqrt (exp h0))) (/ h2 1) (/ (cos h1) (exp h0)) (/ 1 (exp h0)) (/ (exp h0) (* h2 (cos h1))) (/ (* h2 (cos h1)) (* (cbrt (exp h0)) (cbrt (exp h0)))) (/ (* h2 (cos h1)) (sqrt (exp h0))) (/ (* h2 (cos h1)) 1) (/ (exp h0) (cos h1)) (expm1 (* (* h2 (cos h1)) (exp h0))) (log1p (* (* h2 (cos h1)) (exp h0))) (* (* h2 (cos h1)) (exp h0)) (* (* h2 (cos h1)) (exp h0)) (+ (+ (log h2) (log (cos h1))) h0) (+ (log (* h2 (cos h1))) h0) (log (* (* h2 (cos h1)) (exp h0))) (exp (* (* h2 (cos h1)) (exp h0))) (* (* (* (* h2 h2) h2) (* (* (cos h1) (cos h1)) (cos h1))) (* (* (exp h0) (exp h0)) (exp h0))) (* (* (* (* h2 (cos h1)) (* h2 (cos h1))) (* h2 (cos h1))) (* (* (exp h0) (exp h0)) (exp h0))) (* (cbrt (* (* h2 (cos h1)) (exp h0))) (cbrt (* (* h2 (cos h1)) (exp h0)))) (cbrt (* (* h2 (cos h1)) (exp h0))) (* (* (* (* h2 (cos h1)) (exp h0)) (* (* h2 (cos h1)) (exp h0))) (* (* h2 (cos h1)) (exp h0))) (sqrt (* (* h2 (cos h1)) (exp h0))) (sqrt (* (* h2 (cos h1)) (exp h0))) (* (* h2 (cos h1)) (* (cbrt (exp h0)) (cbrt (exp h0)))) (* (* h2 (cos h1)) (sqrt (exp h0))) (* (* h2 (cos h1)) 1) (* (cos h1) (exp h0)) (expm1 (+ (/ (* h2 (cos h1)) (exp h0)) (* (* h2 (cos h1)) (exp h0)))) (log1p (+ (/ (* h2 (cos h1)) (exp h0)) (* (* h2 (cos h1)) (exp h0)))) (* (exp (/ (* h2 (cos h1)) (exp h0))) (exp (* (* h2 (cos h1)) (exp h0)))) (log (+ (/ (* h2 (cos h1)) (exp h0)) (* (* h2 (cos h1)) (exp h0)))) (exp (+ (/ (* h2 (cos h1)) (exp h0)) (* (* h2 (cos h1)) (exp h0)))) (* (cbrt (+ (/ (* h2 (cos h1)) (exp h0)) (* (* h2 (cos h1)) (exp h0)))) (cbrt (+ (/ (* h2 (cos h1)) (exp h0)) (* (* h2 (cos h1)) (exp h0))))) (cbrt (+ (/ (* h2 (cos h1)) (exp h0)) (* (* h2 (cos h1)) (exp h0)))) (* (* (+ (/ (* h2 (cos h1)) (exp h0)) (* (* h2 (cos h1)) (exp h0))) (+ (/ (* h2 (cos h1)) (exp h0)) (* (* h2 (cos h1)) (exp h0)))) (+ (/ (* h2 (cos h1)) (exp h0)) (* (* h2 (cos h1)) (exp h0)))) (sqrt (+ (/ (* h2 (cos h1)) (exp h0)) (* (* h2 (cos h1)) (exp h0)))) (sqrt (+ (/ (* h2 (cos h1)) (exp h0)) (* (* h2 (cos h1)) (exp h0)))) (+ (pow (/ (* h2 (cos h1)) (exp h0)) 3) (pow (* (* h2 (cos h1)) (exp h0)) 3)) (+ (* (/ (* h2 (cos h1)) (exp h0)) (/ (* h2 (cos h1)) (exp h0))) (- (* (* (* h2 (cos h1)) (exp h0)) (* (* h2 (cos h1)) (exp h0))) (* (/ (* h2 (cos h1)) (exp h0)) (* (* h2 (cos h1)) (exp h0))))) (- (* (/ (* h2 (cos h1)) (exp h0)) (/ (* h2 (cos h1)) (exp h0))) (* (* (* h2 (cos h1)) (exp h0)) (* (* h2 (cos h1)) (exp h0)))) (- (/ (* h2 (cos h1)) (exp h0)) (* (* h2 (cos h1)) (exp h0))) (+ (/ 1 (exp h0)) (exp h0)) (- h2 (+ (* h3 (pow h1 2)) (* h2 h0))) (* h2 (/ (cos h1) (exp h0))) (* h2 (/ (cos h1) (exp h0))) (- (+ (* h2 h0) h2) (* h3 (pow h1 2))) (* h2 (* (exp h0) (cos h1))) (* h2 (* (exp h0) (cos h1))) (- (+ (* h2 (pow h0 2)) h4) (* h2 (pow h1 2))) (+ (* h2 (* (exp h0) (cos h1))) (* h2 (/ (cos h1) (exp h0)))) (+ (* h2 (* (exp h0) (cos h1))) (* h2 (/ (cos h1) (exp h0)))) 0.736 * * [simplify]: iteration 0 : 297 enodes (cost 490 ) 0.743 * * [simplify]: iteration 1 : 1687 enodes (cost 421 ) 0.780 * * [simplify]: iteration 2 : 5001 enodes (cost 416 ) 0.782 * * * [progress]: adding candidates to table 0.945 * * [progress]: iteration 3 / 4 0.945 * * * [progress]: picking best candidate 0.949 * * * * [pick]: Picked # 0.949 * * * [progress]: localizing error 0.967 * * * [progress]: generating rewritten candidates 0.967 * * * * [progress]: [ 1 / 4 ] rewriting at (2 2 2) 0.984 * * * * [progress]: [ 2 / 4 ] rewriting at (2) 1.178 * * * * [progress]: [ 3 / 4 ] rewriting at (2 1 2 2) 1.184 * * * * [progress]: [ 4 / 4 ] rewriting at (2 1 2 1) 1.196 * * * [progress]: generating series expansions 1.196 * * * * [progress]: [ 1 / 4 ] generating series at (2 2 2) 1.197 * [backup-simplify]: Simplify (- (* (exp im) (exp im)) (* (exp (- im)) (exp im))) into (- (pow (exp im) 2) (* (exp im) (exp (- im)))) 1.197 * [approximate]: Taking taylor expansion of (- (pow (exp im) 2) (* (exp im) (exp (- im)))) in (im) around 0 1.197 * [taylor]: Taking taylor expansion of (- (pow (exp im) 2) (* (exp im) (exp (- im)))) in im 1.197 * [taylor]: Taking taylor expansion of (pow (exp im) 2) in im 1.197 * [taylor]: Taking taylor expansion of (exp im) in im 1.197 * [taylor]: Taking taylor expansion of im in im 1.197 * [backup-simplify]: Simplify 0 into 0 1.197 * [backup-simplify]: Simplify 1 into 1 1.197 * [backup-simplify]: Simplify (exp 0) into 1 1.197 * [taylor]: Taking taylor expansion of (* (exp im) (exp (- im))) in im 1.197 * [taylor]: Taking taylor expansion of (exp im) in im 1.197 * [taylor]: Taking taylor expansion of im in im 1.197 * [backup-simplify]: Simplify 0 into 0 1.197 * [backup-simplify]: Simplify 1 into 1 1.197 * [backup-simplify]: Simplify (exp 0) into 1 1.197 * [taylor]: Taking taylor expansion of (exp (- im)) in im 1.197 * [taylor]: Taking taylor expansion of (- im) in im 1.197 * [taylor]: Taking taylor expansion of im in im 1.197 * [backup-simplify]: Simplify 0 into 0 1.197 * [backup-simplify]: Simplify 1 into 1 1.197 * [backup-simplify]: Simplify (- 0) into 0 1.198 * [backup-simplify]: Simplify (- 1) into -1 1.198 * [backup-simplify]: Simplify (exp 0) into 1 1.198 * [taylor]: Taking taylor expansion of (- (pow (exp im) 2) (* (exp im) (exp (- im)))) in im 1.198 * [taylor]: Taking taylor expansion of (pow (exp im) 2) in im 1.198 * [taylor]: Taking taylor expansion of (exp im) in im 1.198 * [taylor]: Taking taylor expansion of im in im 1.198 * [backup-simplify]: Simplify 0 into 0 1.198 * [backup-simplify]: Simplify 1 into 1 1.198 * [backup-simplify]: Simplify (exp 0) into 1 1.198 * [taylor]: Taking taylor expansion of (* (exp im) (exp (- im))) in im 1.198 * [taylor]: Taking taylor expansion of (exp im) in im 1.198 * [taylor]: Taking taylor expansion of im in im 1.198 * [backup-simplify]: Simplify 0 into 0 1.198 * [backup-simplify]: Simplify 1 into 1 1.198 * [backup-simplify]: Simplify (exp 0) into 1 1.198 * [taylor]: Taking taylor expansion of (exp (- im)) in im 1.198 * [taylor]: Taking taylor expansion of (- im) in im 1.198 * [taylor]: Taking taylor expansion of im in im 1.198 * [backup-simplify]: Simplify 0 into 0 1.198 * [backup-simplify]: Simplify 1 into 1 1.198 * [backup-simplify]: Simplify (- 0) into 0 1.198 * [backup-simplify]: Simplify (- 1) into -1 1.198 * [backup-simplify]: Simplify (exp 0) into 1 1.199 * [backup-simplify]: Simplify (* 1 1) into 1 1.199 * [backup-simplify]: Simplify (* 1 1) into 1 1.199 * [backup-simplify]: Simplify (- 1) into -1 1.199 * [backup-simplify]: Simplify (+ 1 -1) into 0 1.199 * [backup-simplify]: Simplify 0 into 0 1.200 * [backup-simplify]: Simplify (* (exp 0) (+ (* (/ (pow 1 1) 1)))) into 1 1.200 * [backup-simplify]: Simplify (+ (* 1 1) (* 1 1)) into 2 1.201 * [backup-simplify]: Simplify (- 1) into -1 1.201 * [backup-simplify]: Simplify (* (exp 0) (+ (* (/ (pow -1 1) 1)))) into -1 1.202 * [backup-simplify]: Simplify (* (exp 0) (+ (* (/ (pow 1 1) 1)))) into 1 1.202 * [backup-simplify]: Simplify (+ (* 1 -1) (* 1 1)) into 0 1.202 * [backup-simplify]: Simplify (- 0) into 0 1.202 * [backup-simplify]: Simplify (+ 2 0) into 2 1.202 * [backup-simplify]: Simplify 2 into 2 1.203 * [backup-simplify]: Simplify (* (exp 0) (+ (* (/ (pow 1 2) 2)) (* (/ (pow 0 1) 1)))) into 1/2 1.204 * [backup-simplify]: Simplify (+ (* 1 1/2) (+ (* 1 1) (* 1/2 1))) into 2 1.204 * [backup-simplify]: Simplify (- 1) into -1 1.204 * [backup-simplify]: Simplify (- 0) into 0 1.205 * [backup-simplify]: Simplify (* (exp 0) (+ (* (/ (pow -1 2) 2)) (* (/ (pow 0 1) 1)))) into 1/2 1.206 * [backup-simplify]: Simplify (* (exp 0) (+ (* (/ (pow 1 2) 2)) (* (/ (pow 0 1) 1)))) into 1/2 1.206 * [backup-simplify]: Simplify (+ (* 1 1/2) (+ (* 1 -1) (* 1/2 1))) into 0 1.207 * [backup-simplify]: Simplify (- 0) into 0 1.207 * [backup-simplify]: Simplify (+ 2 0) into 2 1.207 * [backup-simplify]: Simplify 2 into 2 1.208 * [backup-simplify]: Simplify (* (exp 0) (+ (* (/ (pow 1 3) 6)) (* (/ (pow 1 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1)))) into 1/6 1.209 * [backup-simplify]: Simplify (+ (* 1 1/6) (+ (* 1 1/2) (+ (* 1/2 1) (* 1/6 1)))) into 4/3 1.209 * [backup-simplify]: Simplify (- 1) into -1 1.209 * [backup-simplify]: Simplify (- 1) into -1 1.209 * [backup-simplify]: Simplify (- 0) into 0 1.210 * [backup-simplify]: Simplify (- 0) into 0 1.211 * [backup-simplify]: Simplify (* (exp 0) (+ (* (/ (pow -1 3) 6)) (* (/ (pow -1 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1)))) into -1/6 1.212 * [backup-simplify]: Simplify (* (exp 0) (+ (* (/ (pow 1 3) 6)) (* (/ (pow 1 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1)))) into 1/6 1.213 * [backup-simplify]: Simplify (+ (* 1 -1/6) (+ (* 1 1/2) (+ (* 1/2 -1) (* 1/6 1)))) into 0 1.213 * [backup-simplify]: Simplify (- 0) into 0 1.213 * [backup-simplify]: Simplify (+ 4/3 0) into 4/3 1.213 * [backup-simplify]: Simplify 4/3 into 4/3 1.214 * [backup-simplify]: Simplify (+ (* 4/3 (pow im 3)) (+ (* 2 (pow im 2)) (* 2 im))) into (+ (* 4/3 (pow im 3)) (+ (* 2 (pow im 2)) (* 2 im))) 1.214 * [backup-simplify]: Simplify (- (* (exp (/ 1 im)) (exp (/ 1 im))) (* (exp (- (/ 1 im))) (exp (/ 1 im)))) into (- (pow (exp (/ 1 im)) 2) (* (exp (- (/ 1 im))) (exp (/ 1 im)))) 1.214 * [approximate]: Taking taylor expansion of (- (pow (exp (/ 1 im)) 2) (* (exp (- (/ 1 im))) (exp (/ 1 im)))) in (im) around 0 1.214 * [taylor]: Taking taylor expansion of (- (pow (exp (/ 1 im)) 2) (* (exp (- (/ 1 im))) (exp (/ 1 im)))) in im 1.214 * [taylor]: Taking taylor expansion of (pow (exp (/ 1 im)) 2) in im 1.214 * [taylor]: Taking taylor expansion of (exp (/ 1 im)) in im 1.214 * [taylor]: Taking taylor expansion of (/ 1 im) in im 1.214 * [taylor]: Taking taylor expansion of im in im 1.214 * [backup-simplify]: Simplify 0 into 0 1.214 * [backup-simplify]: Simplify 1 into 1 1.214 * [backup-simplify]: Simplify (/ 1 1) into 1 1.214 * [backup-simplify]: Simplify (exp (/ 1 im)) into (exp (/ 1 im)) 1.214 * [taylor]: Taking taylor expansion of (* (exp (- (/ 1 im))) (exp (/ 1 im))) in im 1.214 * [taylor]: Taking taylor expansion of (exp (- (/ 1 im))) in im 1.214 * [taylor]: Taking taylor expansion of (- (/ 1 im)) in im 1.214 * [taylor]: Taking taylor expansion of (/ 1 im) in im 1.214 * [taylor]: Taking taylor expansion of im in im 1.214 * [backup-simplify]: Simplify 0 into 0 1.214 * [backup-simplify]: Simplify 1 into 1 1.215 * [backup-simplify]: Simplify (/ 1 1) into 1 1.215 * [backup-simplify]: Simplify (- 1) into -1 1.215 * [backup-simplify]: Simplify (exp (- (/ 1 im))) into (exp (- (/ 1 im))) 1.215 * [taylor]: Taking taylor expansion of (exp (/ 1 im)) in im 1.215 * [taylor]: Taking taylor expansion of (/ 1 im) in im 1.215 * [taylor]: Taking taylor expansion of im in im 1.215 * [backup-simplify]: Simplify 0 into 0 1.215 * [backup-simplify]: Simplify 1 into 1 1.215 * [backup-simplify]: Simplify (/ 1 1) into 1 1.215 * [backup-simplify]: Simplify (exp (/ 1 im)) into (exp (/ 1 im)) 1.215 * [taylor]: Taking taylor expansion of (- (pow (exp (/ 1 im)) 2) (* (exp (- (/ 1 im))) (exp (/ 1 im)))) in im 1.215 * [taylor]: Taking taylor expansion of (pow (exp (/ 1 im)) 2) in im 1.215 * [taylor]: Taking taylor expansion of (exp (/ 1 im)) in im 1.215 * [taylor]: Taking taylor expansion of (/ 1 im) in im 1.215 * [taylor]: Taking taylor expansion of im in im 1.215 * [backup-simplify]: Simplify 0 into 0 1.215 * [backup-simplify]: Simplify 1 into 1 1.215 * [backup-simplify]: Simplify (/ 1 1) into 1 1.216 * [backup-simplify]: Simplify (exp (/ 1 im)) into (exp (/ 1 im)) 1.216 * [taylor]: Taking taylor expansion of (* (exp (- (/ 1 im))) (exp (/ 1 im))) in im 1.216 * [taylor]: Taking taylor expansion of (exp (- (/ 1 im))) in im 1.216 * [taylor]: Taking taylor expansion of (- (/ 1 im)) in im 1.216 * [taylor]: Taking taylor expansion of (/ 1 im) in im 1.216 * [taylor]: Taking taylor expansion of im in im 1.216 * [backup-simplify]: Simplify 0 into 0 1.216 * [backup-simplify]: Simplify 1 into 1 1.216 * [backup-simplify]: Simplify (/ 1 1) into 1 1.216 * [backup-simplify]: Simplify (- 1) into -1 1.216 * [backup-simplify]: Simplify (exp (- (/ 1 im))) into (exp (- (/ 1 im))) 1.216 * [taylor]: Taking taylor expansion of (exp (/ 1 im)) in im 1.216 * [taylor]: Taking taylor expansion of (/ 1 im) in im 1.216 * [taylor]: Taking taylor expansion of im in im 1.216 * [backup-simplify]: Simplify 0 into 0 1.216 * [backup-simplify]: Simplify 1 into 1 1.216 * [backup-simplify]: Simplify (/ 1 1) into 1 1.217 * [backup-simplify]: Simplify (exp (/ 1 im)) into (exp (/ 1 im)) 1.217 * [backup-simplify]: Simplify (* (exp (/ 1 im)) (exp (/ 1 im))) into (pow (exp (/ 1 im)) 2) 1.217 * [backup-simplify]: Simplify (* (exp (- (/ 1 im))) (exp (/ 1 im))) into (* (exp (- (/ 1 im))) (exp (/ 1 im))) 1.217 * [backup-simplify]: Simplify (- (* (exp (- (/ 1 im))) (exp (/ 1 im)))) into (- (* (exp (- (/ 1 im))) (exp (/ 1 im)))) 1.217 * [backup-simplify]: Simplify (+ (pow (exp (/ 1 im)) 2) (- (* (exp (- (/ 1 im))) (exp (/ 1 im))))) into (- (pow (exp (/ 1 im)) 2) (* (exp (- (/ 1 im))) (exp (/ 1 im)))) 1.217 * [backup-simplify]: Simplify (- (pow (exp (/ 1 im)) 2) (* (exp (- (/ 1 im))) (exp (/ 1 im)))) into (- (pow (exp (/ 1 im)) 2) (* (exp (- (/ 1 im))) (exp (/ 1 im)))) 1.217 * [backup-simplify]: Simplify (+ (* (exp (/ 1 im)) 0) (* 0 (exp (/ 1 im)))) into 0 1.218 * [backup-simplify]: Simplify (+ (* (exp (- (/ 1 im))) 0) (* 0 (exp (/ 1 im)))) into 0 1.218 * [backup-simplify]: Simplify (- 0) into 0 1.218 * [backup-simplify]: Simplify (+ 0 0) into 0 1.218 * [backup-simplify]: Simplify 0 into 0 1.218 * [backup-simplify]: Simplify (+ (* (exp (/ 1 im)) 0) (+ (* 0 0) (* 0 (exp (/ 1 im))))) into 0 1.219 * [backup-simplify]: Simplify (+ (* (exp (- (/ 1 im))) 0) (+ (* 0 0) (* 0 (exp (/ 1 im))))) into 0 1.219 * [backup-simplify]: Simplify (- 0) into 0 1.219 * [backup-simplify]: Simplify (+ 0 0) into 0 1.219 * [backup-simplify]: Simplify 0 into 0 1.220 * [backup-simplify]: Simplify (+ (* (exp (/ 1 im)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (exp (/ 1 im)))))) into 0 1.220 * [backup-simplify]: Simplify (+ (* (exp (- (/ 1 im))) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (exp (/ 1 im)))))) into 0 1.220 * [backup-simplify]: Simplify (- 0) into 0 1.221 * [backup-simplify]: Simplify (+ 0 0) into 0 1.221 * [backup-simplify]: Simplify 0 into 0 1.221 * [backup-simplify]: Simplify (+ (* (exp (/ 1 im)) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (exp (/ 1 im))))))) into 0 1.222 * [backup-simplify]: Simplify (+ (* (exp (- (/ 1 im))) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (exp (/ 1 im))))))) into 0 1.222 * [backup-simplify]: Simplify (- 0) into 0 1.222 * [backup-simplify]: Simplify (+ 0 0) into 0 1.222 * [backup-simplify]: Simplify 0 into 0 1.223 * [backup-simplify]: Simplify (+ (* (exp (/ 1 im)) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (exp (/ 1 im)))))))) into 0 1.224 * [backup-simplify]: Simplify (+ (* (exp (- (/ 1 im))) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (exp (/ 1 im)))))))) into 0 1.224 * [backup-simplify]: Simplify (- 0) into 0 1.225 * [backup-simplify]: Simplify (+ 0 0) into 0 1.225 * [backup-simplify]: Simplify 0 into 0 1.226 * [backup-simplify]: Simplify (+ (* (exp (/ 1 im)) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (exp (/ 1 im))))))))) into 0 1.227 * [backup-simplify]: Simplify (+ (* (exp (- (/ 1 im))) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (exp (/ 1 im))))))))) into 0 1.227 * [backup-simplify]: Simplify (- 0) into 0 1.227 * [backup-simplify]: Simplify (+ 0 0) into 0 1.227 * [backup-simplify]: Simplify 0 into 0 1.228 * [backup-simplify]: Simplify (- (pow (exp (/ 1 (/ 1 im))) 2) (* (exp (- (/ 1 (/ 1 im)))) (exp (/ 1 (/ 1 im))))) into (- (pow (exp im) 2) (* (exp im) (exp (- im)))) 1.228 * [backup-simplify]: Simplify (- (* (exp (/ 1 (- im))) (exp (/ 1 (- im)))) (* (exp (- (/ 1 (- im)))) (exp (/ 1 (- im))))) into (- (pow (exp (/ -1 im)) 2) (* (exp (/ -1 im)) (exp (/ 1 im)))) 1.228 * [approximate]: Taking taylor expansion of (- (pow (exp (/ -1 im)) 2) (* (exp (/ -1 im)) (exp (/ 1 im)))) in (im) around 0 1.228 * [taylor]: Taking taylor expansion of (- (pow (exp (/ -1 im)) 2) (* (exp (/ -1 im)) (exp (/ 1 im)))) in im 1.228 * [taylor]: Taking taylor expansion of (pow (exp (/ -1 im)) 2) in im 1.228 * [taylor]: Taking taylor expansion of (exp (/ -1 im)) in im 1.228 * [taylor]: Taking taylor expansion of (/ -1 im) in im 1.228 * [taylor]: Taking taylor expansion of -1 in im 1.228 * [backup-simplify]: Simplify -1 into -1 1.228 * [taylor]: Taking taylor expansion of im in im 1.228 * [backup-simplify]: Simplify 0 into 0 1.228 * [backup-simplify]: Simplify 1 into 1 1.228 * [backup-simplify]: Simplify (/ -1 1) into -1 1.228 * [backup-simplify]: Simplify (exp (/ -1 im)) into (exp (/ -1 im)) 1.228 * [taylor]: Taking taylor expansion of (* (exp (/ -1 im)) (exp (/ 1 im))) in im 1.228 * [taylor]: Taking taylor expansion of (exp (/ -1 im)) in im 1.228 * [taylor]: Taking taylor expansion of (/ -1 im) in im 1.228 * [taylor]: Taking taylor expansion of -1 in im 1.228 * [backup-simplify]: Simplify -1 into -1 1.228 * [taylor]: Taking taylor expansion of im in im 1.228 * [backup-simplify]: Simplify 0 into 0 1.228 * [backup-simplify]: Simplify 1 into 1 1.229 * [backup-simplify]: Simplify (/ -1 1) into -1 1.229 * [backup-simplify]: Simplify (exp (/ -1 im)) into (exp (/ -1 im)) 1.229 * [taylor]: Taking taylor expansion of (exp (/ 1 im)) in im 1.229 * [taylor]: Taking taylor expansion of (/ 1 im) in im 1.229 * [taylor]: Taking taylor expansion of im in im 1.229 * [backup-simplify]: Simplify 0 into 0 1.229 * [backup-simplify]: Simplify 1 into 1 1.229 * [backup-simplify]: Simplify (/ 1 1) into 1 1.229 * [backup-simplify]: Simplify (exp (/ 1 im)) into (exp (/ 1 im)) 1.229 * [taylor]: Taking taylor expansion of (- (pow (exp (/ -1 im)) 2) (* (exp (/ -1 im)) (exp (/ 1 im)))) in im 1.229 * [taylor]: Taking taylor expansion of (pow (exp (/ -1 im)) 2) in im 1.229 * [taylor]: Taking taylor expansion of (exp (/ -1 im)) in im 1.229 * [taylor]: Taking taylor expansion of (/ -1 im) in im 1.229 * [taylor]: Taking taylor expansion of -1 in im 1.229 * [backup-simplify]: Simplify -1 into -1 1.229 * [taylor]: Taking taylor expansion of im in im 1.229 * [backup-simplify]: Simplify 0 into 0 1.229 * [backup-simplify]: Simplify 1 into 1 1.230 * [backup-simplify]: Simplify (/ -1 1) into -1 1.230 * [backup-simplify]: Simplify (exp (/ -1 im)) into (exp (/ -1 im)) 1.230 * [taylor]: Taking taylor expansion of (* (exp (/ -1 im)) (exp (/ 1 im))) in im 1.230 * [taylor]: Taking taylor expansion of (exp (/ -1 im)) in im 1.230 * [taylor]: Taking taylor expansion of (/ -1 im) in im 1.230 * [taylor]: Taking taylor expansion of -1 in im 1.230 * [backup-simplify]: Simplify -1 into -1 1.230 * [taylor]: Taking taylor expansion of im in im 1.230 * [backup-simplify]: Simplify 0 into 0 1.230 * [backup-simplify]: Simplify 1 into 1 1.230 * [backup-simplify]: Simplify (/ -1 1) into -1 1.230 * [backup-simplify]: Simplify (exp (/ -1 im)) into (exp (/ -1 im)) 1.230 * [taylor]: Taking taylor expansion of (exp (/ 1 im)) in im 1.230 * [taylor]: Taking taylor expansion of (/ 1 im) in im 1.230 * [taylor]: Taking taylor expansion of im in im 1.230 * [backup-simplify]: Simplify 0 into 0 1.230 * [backup-simplify]: Simplify 1 into 1 1.230 * [backup-simplify]: Simplify (/ 1 1) into 1 1.230 * [backup-simplify]: Simplify (exp (/ 1 im)) into (exp (/ 1 im)) 1.230 * [backup-simplify]: Simplify (* (exp (/ -1 im)) (exp (/ -1 im))) into (pow (exp (/ -1 im)) 2) 1.231 * [backup-simplify]: Simplify (* (exp (/ -1 im)) (exp (/ 1 im))) into (* (exp (/ -1 im)) (exp (/ 1 im))) 1.231 * [backup-simplify]: Simplify (- (* (exp (/ -1 im)) (exp (/ 1 im)))) into (- (* (exp (/ -1 im)) (exp (/ 1 im)))) 1.231 * [backup-simplify]: Simplify (+ (pow (exp (/ -1 im)) 2) (- (* (exp (/ -1 im)) (exp (/ 1 im))))) into (- (pow (exp (/ -1 im)) 2) (* (exp (/ -1 im)) (exp (/ 1 im)))) 1.231 * [backup-simplify]: Simplify (- (pow (exp (/ -1 im)) 2) (* (exp (/ -1 im)) (exp (/ 1 im)))) into (- (pow (exp (/ -1 im)) 2) (* (exp (/ -1 im)) (exp (/ 1 im)))) 1.231 * [backup-simplify]: Simplify (+ (* (exp (/ -1 im)) 0) (* 0 (exp (/ -1 im)))) into 0 1.231 * [backup-simplify]: Simplify (+ (* (exp (/ -1 im)) 0) (* 0 (exp (/ 1 im)))) into 0 1.231 * [backup-simplify]: Simplify (- 0) into 0 1.232 * [backup-simplify]: Simplify (+ 0 0) into 0 1.232 * [backup-simplify]: Simplify 0 into 0 1.232 * [backup-simplify]: Simplify (+ (* (exp (/ -1 im)) 0) (+ (* 0 0) (* 0 (exp (/ -1 im))))) into 0 1.232 * [backup-simplify]: Simplify (+ (* (exp (/ -1 im)) 0) (+ (* 0 0) (* 0 (exp (/ 1 im))))) into 0 1.233 * [backup-simplify]: Simplify (- 0) into 0 1.233 * [backup-simplify]: Simplify (+ 0 0) into 0 1.233 * [backup-simplify]: Simplify 0 into 0 1.234 * [backup-simplify]: Simplify (+ (* (exp (/ -1 im)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (exp (/ -1 im)))))) into 0 1.234 * [backup-simplify]: Simplify (+ (* (exp (/ -1 im)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (exp (/ 1 im)))))) into 0 1.234 * [backup-simplify]: Simplify (- 0) into 0 1.234 * [backup-simplify]: Simplify (+ 0 0) into 0 1.234 * [backup-simplify]: Simplify 0 into 0 1.235 * [backup-simplify]: Simplify (+ (* (exp (/ -1 im)) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (exp (/ -1 im))))))) into 0 1.236 * [backup-simplify]: Simplify (+ (* (exp (/ -1 im)) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (exp (/ 1 im))))))) into 0 1.236 * [backup-simplify]: Simplify (- 0) into 0 1.236 * [backup-simplify]: Simplify (+ 0 0) into 0 1.236 * [backup-simplify]: Simplify 0 into 0 1.237 * [backup-simplify]: Simplify (+ (* (exp (/ -1 im)) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (exp (/ -1 im)))))))) into 0 1.238 * [backup-simplify]: Simplify (+ (* (exp (/ -1 im)) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (exp (/ 1 im)))))))) into 0 1.238 * [backup-simplify]: Simplify (- 0) into 0 1.239 * [backup-simplify]: Simplify (+ 0 0) into 0 1.239 * [backup-simplify]: Simplify 0 into 0 1.240 * [backup-simplify]: Simplify (+ (* (exp (/ -1 im)) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (exp (/ -1 im))))))))) into 0 1.241 * [backup-simplify]: Simplify (+ (* (exp (/ -1 im)) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (exp (/ 1 im))))))))) into 0 1.241 * [backup-simplify]: Simplify (- 0) into 0 1.241 * [backup-simplify]: Simplify (+ 0 0) into 0 1.241 * [backup-simplify]: Simplify 0 into 0 1.241 * [backup-simplify]: Simplify (- (pow (exp (/ -1 (/ 1 (- im)))) 2) (* (exp (/ -1 (/ 1 (- im)))) (exp (/ 1 (/ 1 (- im)))))) into (- (pow (exp im) 2) (* (exp (* -1 im)) (exp im))) 1.242 * * * * [progress]: [ 2 / 4 ] generating series at (2) 1.242 * [backup-simplify]: Simplify (/ (* (* 0.5 (cos re)) (+ (pow (exp (- im)) 3) (pow (exp im) 3))) (+ (* (exp (- im)) (exp (- im))) (- (* (exp im) (exp im)) (* (exp (- im)) (exp im))))) into (* 0.5 (/ (* (+ (pow (exp im) 3) (pow (exp (- im)) 3)) (cos re)) (- (+ (pow (exp (- im)) 2) (pow (exp im) 2)) (* (exp im) (exp (- im)))))) 1.242 * [approximate]: Taking taylor expansion of (* 0.5 (/ (* (+ (pow (exp im) 3) (pow (exp (- im)) 3)) (cos re)) (- (+ (pow (exp (- im)) 2) (pow (exp im) 2)) (* (exp im) (exp (- im)))))) in (re im) around 0 1.242 * [taylor]: Taking taylor expansion of (* 0.5 (/ (* (+ (pow (exp im) 3) (pow (exp (- im)) 3)) (cos re)) (- (+ (pow (exp (- im)) 2) (pow (exp im) 2)) (* (exp im) (exp (- im)))))) in im 1.242 * [taylor]: Taking taylor expansion of 0.5 in im 1.242 * [backup-simplify]: Simplify 0.5 into 0.5 1.242 * [taylor]: Taking taylor expansion of (/ (* (+ (pow (exp im) 3) (pow (exp (- im)) 3)) (cos re)) (- (+ (pow (exp (- im)) 2) (pow (exp im) 2)) (* (exp im) (exp (- im))))) in im 1.242 * [taylor]: Taking taylor expansion of (* (+ (pow (exp im) 3) (pow (exp (- im)) 3)) (cos re)) in im 1.242 * [taylor]: Taking taylor expansion of (+ (pow (exp im) 3) (pow (exp (- im)) 3)) in im 1.242 * [taylor]: Taking taylor expansion of (pow (exp im) 3) in im 1.242 * [taylor]: Taking taylor expansion of (exp im) in im 1.242 * [taylor]: Taking taylor expansion of im in im 1.242 * [backup-simplify]: Simplify 0 into 0 1.242 * [backup-simplify]: Simplify 1 into 1 1.242 * [backup-simplify]: Simplify (exp 0) into 1 1.242 * [taylor]: Taking taylor expansion of (pow (exp (- im)) 3) in im 1.242 * [taylor]: Taking taylor expansion of (exp (- im)) in im 1.242 * [taylor]: Taking taylor expansion of (- im) in im 1.242 * [taylor]: Taking taylor expansion of im in im 1.242 * [backup-simplify]: Simplify 0 into 0 1.242 * [backup-simplify]: Simplify 1 into 1 1.243 * [backup-simplify]: Simplify (- 0) into 0 1.243 * [backup-simplify]: Simplify (- 1) into -1 1.243 * [backup-simplify]: Simplify (exp 0) into 1 1.243 * [taylor]: Taking taylor expansion of (cos re) in im 1.243 * [taylor]: Taking taylor expansion of re in im 1.243 * [backup-simplify]: Simplify re into re 1.243 * [backup-simplify]: Simplify (cos re) into (cos re) 1.243 * [backup-simplify]: Simplify (sin re) into (sin re) 1.243 * [taylor]: Taking taylor expansion of (- (+ (pow (exp (- im)) 2) (pow (exp im) 2)) (* (exp im) (exp (- im)))) in im 1.243 * [taylor]: Taking taylor expansion of (+ (pow (exp (- im)) 2) (pow (exp im) 2)) in im 1.243 * [taylor]: Taking taylor expansion of (pow (exp (- im)) 2) in im 1.243 * [taylor]: Taking taylor expansion of (exp (- im)) in im 1.243 * [taylor]: Taking taylor expansion of (- im) in im 1.243 * [taylor]: Taking taylor expansion of im in im 1.243 * [backup-simplify]: Simplify 0 into 0 1.243 * [backup-simplify]: Simplify 1 into 1 1.243 * [backup-simplify]: Simplify (- 0) into 0 1.243 * [backup-simplify]: Simplify (- 1) into -1 1.244 * [backup-simplify]: Simplify (exp 0) into 1 1.244 * [taylor]: Taking taylor expansion of (pow (exp im) 2) in im 1.244 * [taylor]: Taking taylor expansion of (exp im) in im 1.244 * [taylor]: Taking taylor expansion of im in im 1.244 * [backup-simplify]: Simplify 0 into 0 1.244 * [backup-simplify]: Simplify 1 into 1 1.244 * [backup-simplify]: Simplify (exp 0) into 1 1.244 * [taylor]: Taking taylor expansion of (* (exp im) (exp (- im))) in im 1.244 * [taylor]: Taking taylor expansion of (exp im) in im 1.244 * [taylor]: Taking taylor expansion of im in im 1.244 * [backup-simplify]: Simplify 0 into 0 1.244 * [backup-simplify]: Simplify 1 into 1 1.244 * [backup-simplify]: Simplify (exp 0) into 1 1.244 * [taylor]: Taking taylor expansion of (exp (- im)) in im 1.244 * [taylor]: Taking taylor expansion of (- im) in im 1.244 * [taylor]: Taking taylor expansion of im in im 1.244 * [backup-simplify]: Simplify 0 into 0 1.244 * [backup-simplify]: Simplify 1 into 1 1.244 * [backup-simplify]: Simplify (- 0) into 0 1.244 * [backup-simplify]: Simplify (- 1) into -1 1.244 * [backup-simplify]: Simplify (exp 0) into 1 1.244 * [backup-simplify]: Simplify (* 1 1) into 1 1.245 * [backup-simplify]: Simplify (* 1 1) into 1 1.245 * [backup-simplify]: Simplify (* 1 1) into 1 1.245 * [backup-simplify]: Simplify (* 1 1) into 1 1.245 * [backup-simplify]: Simplify (+ 1 1) into 2 1.245 * [backup-simplify]: Simplify (* (cos re) 1) into (cos re) 1.245 * [backup-simplify]: Simplify (* (sin re) 0) into 0 1.246 * [backup-simplify]: Simplify (- 0) into 0 1.246 * [backup-simplify]: Simplify (+ (cos re) 0) into (cos re) 1.246 * [backup-simplify]: Simplify (* 2 (cos re)) into (* 2 (cos re)) 1.246 * [backup-simplify]: Simplify (* 1 1) into 1 1.246 * [backup-simplify]: Simplify (* 1 1) into 1 1.246 * [backup-simplify]: Simplify (+ 1 1) into 2 1.247 * [backup-simplify]: Simplify (* 1 1) into 1 1.247 * [backup-simplify]: Simplify (- 1) into -1 1.247 * [backup-simplify]: Simplify (+ 2 -1) into 1 1.247 * [backup-simplify]: Simplify (/ (* 2 (cos re)) 1) into (* 2 (cos re)) 1.247 * [taylor]: Taking taylor expansion of (* 0.5 (/ (* (+ (pow (exp im) 3) (pow (exp (- im)) 3)) (cos re)) (- (+ (pow (exp (- im)) 2) (pow (exp im) 2)) (* (exp im) (exp (- im)))))) in re 1.247 * [taylor]: Taking taylor expansion of 0.5 in re 1.247 * [backup-simplify]: Simplify 0.5 into 0.5 1.247 * [taylor]: Taking taylor expansion of (/ (* (+ (pow (exp im) 3) (pow (exp (- im)) 3)) (cos re)) (- (+ (pow (exp (- im)) 2) (pow (exp im) 2)) (* (exp im) (exp (- im))))) in re 1.247 * [taylor]: Taking taylor expansion of (* (+ (pow (exp im) 3) (pow (exp (- im)) 3)) (cos re)) in re 1.247 * [taylor]: Taking taylor expansion of (+ (pow (exp im) 3) (pow (exp (- im)) 3)) in re 1.247 * [taylor]: Taking taylor expansion of (pow (exp im) 3) in re 1.247 * [taylor]: Taking taylor expansion of (exp im) in re 1.247 * [taylor]: Taking taylor expansion of im in re 1.247 * [backup-simplify]: Simplify im into im 1.247 * [backup-simplify]: Simplify (exp im) into (exp im) 1.247 * [taylor]: Taking taylor expansion of (pow (exp (- im)) 3) in re 1.247 * [taylor]: Taking taylor expansion of (exp (- im)) in re 1.247 * [taylor]: Taking taylor expansion of (- im) in re 1.247 * [taylor]: Taking taylor expansion of im in re 1.247 * [backup-simplify]: Simplify im into im 1.247 * [backup-simplify]: Simplify (- im) into (- im) 1.247 * [backup-simplify]: Simplify (- im) into (- im) 1.247 * [backup-simplify]: Simplify (exp (- im)) into (exp (- im)) 1.247 * [taylor]: Taking taylor expansion of (cos re) in re 1.247 * [taylor]: Taking taylor expansion of re in re 1.247 * [backup-simplify]: Simplify 0 into 0 1.248 * [backup-simplify]: Simplify 1 into 1 1.248 * [taylor]: Taking taylor expansion of (- (+ (pow (exp (- im)) 2) (pow (exp im) 2)) (* (exp im) (exp (- im)))) in re 1.248 * [taylor]: Taking taylor expansion of (+ (pow (exp (- im)) 2) (pow (exp im) 2)) in re 1.248 * [taylor]: Taking taylor expansion of (pow (exp (- im)) 2) in re 1.248 * [taylor]: Taking taylor expansion of (exp (- im)) in re 1.248 * [taylor]: Taking taylor expansion of (- im) in re 1.248 * [taylor]: Taking taylor expansion of im in re 1.248 * [backup-simplify]: Simplify im into im 1.248 * [backup-simplify]: Simplify (- im) into (- im) 1.248 * [backup-simplify]: Simplify (- im) into (- im) 1.248 * [backup-simplify]: Simplify (exp (- im)) into (exp (- im)) 1.248 * [taylor]: Taking taylor expansion of (pow (exp im) 2) in re 1.248 * [taylor]: Taking taylor expansion of (exp im) in re 1.248 * [taylor]: Taking taylor expansion of im in re 1.248 * [backup-simplify]: Simplify im into im 1.248 * [backup-simplify]: Simplify (exp im) into (exp im) 1.248 * [taylor]: Taking taylor expansion of (* (exp im) (exp (- im))) in re 1.248 * [taylor]: Taking taylor expansion of (exp im) in re 1.248 * [taylor]: Taking taylor expansion of im in re 1.248 * [backup-simplify]: Simplify im into im 1.248 * [backup-simplify]: Simplify (exp im) into (exp im) 1.248 * [taylor]: Taking taylor expansion of (exp (- im)) in re 1.248 * [taylor]: Taking taylor expansion of (- im) in re 1.248 * [taylor]: Taking taylor expansion of im in re 1.248 * [backup-simplify]: Simplify im into im 1.248 * [backup-simplify]: Simplify (- im) into (- im) 1.248 * [backup-simplify]: Simplify (- im) into (- im) 1.248 * [backup-simplify]: Simplify (exp (- im)) into (exp (- im)) 1.248 * [backup-simplify]: Simplify (* (exp im) (exp im)) into (pow (exp im) 2) 1.248 * [backup-simplify]: Simplify (* (exp im) (pow (exp im) 2)) into (pow (exp im) 3) 1.248 * [backup-simplify]: Simplify (* (exp (- im)) (exp (- im))) into (pow (exp (- im)) 2) 1.248 * [backup-simplify]: Simplify (* (exp (- im)) (pow (exp (- im)) 2)) into (pow (exp (- im)) 3) 1.249 * [backup-simplify]: Simplify (+ (pow (exp im) 3) (pow (exp (- im)) 3)) into (+ (pow (exp im) 3) (pow (exp (- im)) 3)) 1.249 * [backup-simplify]: Simplify (* (+ (pow (exp im) 3) (pow (exp (- im)) 3)) 1) into (+ (pow (exp im) 3) (pow (exp (- im)) 3)) 1.249 * [backup-simplify]: Simplify (* (exp (- im)) (exp (- im))) into (pow (exp (- im)) 2) 1.249 * [backup-simplify]: Simplify (* (exp im) (exp im)) into (pow (exp im) 2) 1.249 * [backup-simplify]: Simplify (+ (pow (exp (- im)) 2) (pow (exp im) 2)) into (+ (pow (exp (- im)) 2) (pow (exp im) 2)) 1.249 * [backup-simplify]: Simplify (* (exp im) (exp (- im))) into (* (exp im) (exp (- im))) 1.249 * [backup-simplify]: Simplify (- (* (exp im) (exp (- im)))) into (- (* (exp im) (exp (- im)))) 1.249 * [backup-simplify]: Simplify (+ (+ (pow (exp (- im)) 2) (pow (exp im) 2)) (- (* (exp im) (exp (- im))))) into (- (+ (pow (exp (- im)) 2) (pow (exp im) 2)) (* (exp im) (exp (- im)))) 1.250 * [backup-simplify]: Simplify (/ (+ (pow (exp im) 3) (pow (exp (- im)) 3)) (- (+ (pow (exp (- im)) 2) (pow (exp im) 2)) (* (exp im) (exp (- im))))) into (/ (+ (pow (exp im) 3) (pow (exp (- im)) 3)) (- (+ (pow (exp (- im)) 2) (pow (exp im) 2)) (* (exp im) (exp (- im))))) 1.250 * [taylor]: Taking taylor expansion of (* 0.5 (/ (* (+ (pow (exp im) 3) (pow (exp (- im)) 3)) (cos re)) (- (+ (pow (exp (- im)) 2) (pow (exp im) 2)) (* (exp im) (exp (- im)))))) in re 1.250 * [taylor]: Taking taylor expansion of 0.5 in re 1.250 * [backup-simplify]: Simplify 0.5 into 0.5 1.250 * [taylor]: Taking taylor expansion of (/ (* (+ (pow (exp im) 3) (pow (exp (- im)) 3)) (cos re)) (- (+ (pow (exp (- im)) 2) (pow (exp im) 2)) (* (exp im) (exp (- im))))) in re 1.250 * [taylor]: Taking taylor expansion of (* (+ (pow (exp im) 3) (pow (exp (- im)) 3)) (cos re)) in re 1.250 * [taylor]: Taking taylor expansion of (+ (pow (exp im) 3) (pow (exp (- im)) 3)) in re 1.250 * [taylor]: Taking taylor expansion of (pow (exp im) 3) in re 1.250 * [taylor]: Taking taylor expansion of (exp im) in re 1.250 * [taylor]: Taking taylor expansion of im in re 1.250 * [backup-simplify]: Simplify im into im 1.250 * [backup-simplify]: Simplify (exp im) into (exp im) 1.250 * [taylor]: Taking taylor expansion of (pow (exp (- im)) 3) in re 1.250 * [taylor]: Taking taylor expansion of (exp (- im)) in re 1.250 * [taylor]: Taking taylor expansion of (- im) in re 1.250 * [taylor]: Taking taylor expansion of im in re 1.250 * [backup-simplify]: Simplify im into im 1.250 * [backup-simplify]: Simplify (- im) into (- im) 1.250 * [backup-simplify]: Simplify (- im) into (- im) 1.250 * [backup-simplify]: Simplify (exp (- im)) into (exp (- im)) 1.250 * [taylor]: Taking taylor expansion of (cos re) in re 1.250 * [taylor]: Taking taylor expansion of re in re 1.250 * [backup-simplify]: Simplify 0 into 0 1.250 * [backup-simplify]: Simplify 1 into 1 1.250 * [taylor]: Taking taylor expansion of (- (+ (pow (exp (- im)) 2) (pow (exp im) 2)) (* (exp im) (exp (- im)))) in re 1.250 * [taylor]: Taking taylor expansion of (+ (pow (exp (- im)) 2) (pow (exp im) 2)) in re 1.250 * [taylor]: Taking taylor expansion of (pow (exp (- im)) 2) in re 1.250 * [taylor]: Taking taylor expansion of (exp (- im)) in re 1.250 * [taylor]: Taking taylor expansion of (- im) in re 1.250 * [taylor]: Taking taylor expansion of im in re 1.250 * [backup-simplify]: Simplify im into im 1.250 * [backup-simplify]: Simplify (- im) into (- im) 1.250 * [backup-simplify]: Simplify (- im) into (- im) 1.250 * [backup-simplify]: Simplify (exp (- im)) into (exp (- im)) 1.251 * [taylor]: Taking taylor expansion of (pow (exp im) 2) in re 1.251 * [taylor]: Taking taylor expansion of (exp im) in re 1.251 * [taylor]: Taking taylor expansion of im in re 1.251 * [backup-simplify]: Simplify im into im 1.251 * [backup-simplify]: Simplify (exp im) into (exp im) 1.251 * [taylor]: Taking taylor expansion of (* (exp im) (exp (- im))) in re 1.251 * [taylor]: Taking taylor expansion of (exp im) in re 1.251 * [taylor]: Taking taylor expansion of im in re 1.251 * [backup-simplify]: Simplify im into im 1.251 * [backup-simplify]: Simplify (exp im) into (exp im) 1.251 * [taylor]: Taking taylor expansion of (exp (- im)) in re 1.251 * [taylor]: Taking taylor expansion of (- im) in re 1.251 * [taylor]: Taking taylor expansion of im in re 1.251 * [backup-simplify]: Simplify im into im 1.251 * [backup-simplify]: Simplify (- im) into (- im) 1.251 * [backup-simplify]: Simplify (- im) into (- im) 1.251 * [backup-simplify]: Simplify (exp (- im)) into (exp (- im)) 1.251 * [backup-simplify]: Simplify (* (exp im) (exp im)) into (pow (exp im) 2) 1.251 * [backup-simplify]: Simplify (* (exp im) (pow (exp im) 2)) into (pow (exp im) 3) 1.251 * [backup-simplify]: Simplify (* (exp (- im)) (exp (- im))) into (pow (exp (- im)) 2) 1.251 * [backup-simplify]: Simplify (* (exp (- im)) (pow (exp (- im)) 2)) into (pow (exp (- im)) 3) 1.251 * [backup-simplify]: Simplify (+ (pow (exp im) 3) (pow (exp (- im)) 3)) into (+ (pow (exp im) 3) (pow (exp (- im)) 3)) 1.251 * [backup-simplify]: Simplify (* (+ (pow (exp im) 3) (pow (exp (- im)) 3)) 1) into (+ (pow (exp im) 3) (pow (exp (- im)) 3)) 1.252 * [backup-simplify]: Simplify (* (exp (- im)) (exp (- im))) into (pow (exp (- im)) 2) 1.252 * [backup-simplify]: Simplify (* (exp im) (exp im)) into (pow (exp im) 2) 1.252 * [backup-simplify]: Simplify (+ (pow (exp (- im)) 2) (pow (exp im) 2)) into (+ (pow (exp (- im)) 2) (pow (exp im) 2)) 1.252 * [backup-simplify]: Simplify (* (exp im) (exp (- im))) into (* (exp im) (exp (- im))) 1.252 * [backup-simplify]: Simplify (- (* (exp im) (exp (- im)))) into (- (* (exp im) (exp (- im)))) 1.252 * [backup-simplify]: Simplify (+ (+ (pow (exp (- im)) 2) (pow (exp im) 2)) (- (* (exp im) (exp (- im))))) into (- (+ (pow (exp (- im)) 2) (pow (exp im) 2)) (* (exp im) (exp (- im)))) 1.253 * [backup-simplify]: Simplify (/ (+ (pow (exp im) 3) (pow (exp (- im)) 3)) (- (+ (pow (exp (- im)) 2) (pow (exp im) 2)) (* (exp im) (exp (- im))))) into (/ (+ (pow (exp im) 3) (pow (exp (- im)) 3)) (- (+ (pow (exp (- im)) 2) (pow (exp im) 2)) (* (exp im) (exp (- im))))) 1.253 * [backup-simplify]: Simplify (* 0.5 (/ (+ (pow (exp im) 3) (pow (exp (- im)) 3)) (- (+ (pow (exp (- im)) 2) (pow (exp im) 2)) (* (exp im) (exp (- im)))))) into (* 0.5 (/ (+ (pow (exp im) 3) (pow (exp (- im)) 3)) (- (+ (pow (exp (- im)) 2) (pow (exp im) 2)) (* (exp im) (exp (- im)))))) 1.253 * [taylor]: Taking taylor expansion of (* 0.5 (/ (+ (pow (exp im) 3) (pow (exp (- im)) 3)) (- (+ (pow (exp (- im)) 2) (pow (exp im) 2)) (* (exp im) (exp (- im)))))) in im 1.253 * [taylor]: Taking taylor expansion of 0.5 in im 1.253 * [backup-simplify]: Simplify 0.5 into 0.5 1.253 * [taylor]: Taking taylor expansion of (/ (+ (pow (exp im) 3) (pow (exp (- im)) 3)) (- (+ (pow (exp (- im)) 2) (pow (exp im) 2)) (* (exp im) (exp (- im))))) in im 1.253 * [taylor]: Taking taylor expansion of (+ (pow (exp im) 3) (pow (exp (- im)) 3)) in im 1.253 * [taylor]: Taking taylor expansion of (pow (exp im) 3) in im 1.253 * [taylor]: Taking taylor expansion of (exp im) in im 1.253 * [taylor]: Taking taylor expansion of im in im 1.253 * [backup-simplify]: Simplify 0 into 0 1.253 * [backup-simplify]: Simplify 1 into 1 1.253 * [backup-simplify]: Simplify (exp 0) into 1 1.253 * [taylor]: Taking taylor expansion of (pow (exp (- im)) 3) in im 1.253 * [taylor]: Taking taylor expansion of (exp (- im)) in im 1.253 * [taylor]: Taking taylor expansion of (- im) in im 1.253 * [taylor]: Taking taylor expansion of im in im 1.253 * [backup-simplify]: Simplify 0 into 0 1.253 * [backup-simplify]: Simplify 1 into 1 1.254 * [backup-simplify]: Simplify (- 0) into 0 1.254 * [backup-simplify]: Simplify (- 1) into -1 1.254 * [backup-simplify]: Simplify (exp 0) into 1 1.254 * [taylor]: Taking taylor expansion of (- (+ (pow (exp (- im)) 2) (pow (exp im) 2)) (* (exp im) (exp (- im)))) in im 1.254 * [taylor]: Taking taylor expansion of (+ (pow (exp (- im)) 2) (pow (exp im) 2)) in im 1.254 * [taylor]: Taking taylor expansion of (pow (exp (- im)) 2) in im 1.254 * [taylor]: Taking taylor expansion of (exp (- im)) in im 1.254 * [taylor]: Taking taylor expansion of (- im) in im 1.254 * [taylor]: Taking taylor expansion of im in im 1.254 * [backup-simplify]: Simplify 0 into 0 1.254 * [backup-simplify]: Simplify 1 into 1 1.254 * [backup-simplify]: Simplify (- 0) into 0 1.254 * [backup-simplify]: Simplify (- 1) into -1 1.255 * [backup-simplify]: Simplify (exp 0) into 1 1.255 * [taylor]: Taking taylor expansion of (pow (exp im) 2) in im 1.255 * [taylor]: Taking taylor expansion of (exp im) in im 1.255 * [taylor]: Taking taylor expansion of im in im 1.255 * [backup-simplify]: Simplify 0 into 0 1.255 * [backup-simplify]: Simplify 1 into 1 1.255 * [backup-simplify]: Simplify (exp 0) into 1 1.255 * [taylor]: Taking taylor expansion of (* (exp im) (exp (- im))) in im 1.255 * [taylor]: Taking taylor expansion of (exp im) in im 1.255 * [taylor]: Taking taylor expansion of im in im 1.255 * [backup-simplify]: Simplify 0 into 0 1.255 * [backup-simplify]: Simplify 1 into 1 1.255 * [backup-simplify]: Simplify (exp 0) into 1 1.255 * [taylor]: Taking taylor expansion of (exp (- im)) in im 1.255 * [taylor]: Taking taylor expansion of (- im) in im 1.255 * [taylor]: Taking taylor expansion of im in im 1.255 * [backup-simplify]: Simplify 0 into 0 1.255 * [backup-simplify]: Simplify 1 into 1 1.255 * [backup-simplify]: Simplify (- 0) into 0 1.255 * [backup-simplify]: Simplify (- 1) into -1 1.255 * [backup-simplify]: Simplify (exp 0) into 1 1.255 * [backup-simplify]: Simplify (* 1 1) into 1 1.256 * [backup-simplify]: Simplify (* 1 1) into 1 1.256 * [backup-simplify]: Simplify (* 1 1) into 1 1.256 * [backup-simplify]: Simplify (* 1 1) into 1 1.256 * [backup-simplify]: Simplify (+ 1 1) into 2 1.256 * [backup-simplify]: Simplify (* 1 1) into 1 1.257 * [backup-simplify]: Simplify (* 1 1) into 1 1.257 * [backup-simplify]: Simplify (+ 1 1) into 2 1.257 * [backup-simplify]: Simplify (* 1 1) into 1 1.257 * [backup-simplify]: Simplify (- 1) into -1 1.258 * [backup-simplify]: Simplify (+ 2 -1) into 1 1.258 * [backup-simplify]: Simplify (/ 2 1) into 2 1.258 * [backup-simplify]: Simplify (* 0.5 2) into 1.0 1.258 * [backup-simplify]: Simplify 1.0 into 1.0 1.258 * [backup-simplify]: Simplify (+ 0) into 0 1.259 * [backup-simplify]: Simplify (* (exp im) (+ (* (/ (pow 0 1) 1)))) into 0 1.259 * [backup-simplify]: Simplify (+ (* (exp im) 0) (* 0 (exp im))) into 0 1.259 * [backup-simplify]: Simplify (+ (* (exp im) 0) (* 0 (pow (exp im) 2))) into 0 1.259 * [backup-simplify]: Simplify (- im) into (- im) 1.259 * [backup-simplify]: Simplify (- 0) into 0 1.260 * [backup-simplify]: Simplify (* (exp (- im)) (+ (* (/ (pow 0 1) 1)))) into 0 1.260 * [backup-simplify]: Simplify (+ (* (exp (- im)) 0) (* 0 (exp (- im)))) into 0 1.260 * [backup-simplify]: Simplify (+ (* (exp (- im)) 0) (* 0 (pow (exp (- im)) 2))) into 0 1.260 * [backup-simplify]: Simplify (+ 0 0) into 0 1.261 * [backup-simplify]: Simplify (+ (* (+ (pow (exp im) 3) (pow (exp (- im)) 3)) 0) (* 0 1)) into 0 1.261 * [backup-simplify]: Simplify (- im) into (- im) 1.261 * [backup-simplify]: Simplify (- 0) into 0 1.261 * [backup-simplify]: Simplify (* (exp (- im)) (+ (* (/ (pow 0 1) 1)))) into 0 1.262 * [backup-simplify]: Simplify (+ (* (exp (- im)) 0) (* 0 (exp (- im)))) into 0 1.262 * [backup-simplify]: Simplify (* (exp im) (+ (* (/ (pow 0 1) 1)))) into 0 1.262 * [backup-simplify]: Simplify (+ (* (exp im) 0) (* 0 (exp im))) into 0 1.262 * [backup-simplify]: Simplify (+ 0 0) into 0 1.262 * [backup-simplify]: Simplify (- im) into (- im) 1.263 * [backup-simplify]: Simplify (- 0) into 0 1.263 * [backup-simplify]: Simplify (* (exp (- im)) (+ (* (/ (pow 0 1) 1)))) into 0 1.264 * [backup-simplify]: Simplify (* (exp im) (+ (* (/ (pow 0 1) 1)))) into 0 1.264 * [backup-simplify]: Simplify (+ (* (exp im) 0) (* 0 (exp (- im)))) into 0 1.264 * [backup-simplify]: Simplify (- 0) into 0 1.264 * [backup-simplify]: Simplify (+ 0 0) into 0 1.265 * [backup-simplify]: Simplify (- (/ 0 (- (+ (pow (exp (- im)) 2) (pow (exp im) 2)) (* (exp im) (exp (- im))))) (+ (* (/ (+ (pow (exp im) 3) (pow (exp (- im)) 3)) (- (+ (pow (exp (- im)) 2) (pow (exp im) 2)) (* (exp im) (exp (- im))))) (/ 0 (- (+ (pow (exp (- im)) 2) (pow (exp im) 2)) (* (exp im) (exp (- im)))))))) into 0 1.266 * [backup-simplify]: Simplify (+ (* 0.5 0) (* 0 (/ (+ (pow (exp im) 3) (pow (exp (- im)) 3)) (- (+ (pow (exp (- im)) 2) (pow (exp im) 2)) (* (exp im) (exp (- im))))))) into 0 1.266 * [taylor]: Taking taylor expansion of 0 in im 1.266 * [backup-simplify]: Simplify 0 into 0 1.266 * [backup-simplify]: Simplify 0 into 0 1.266 * [backup-simplify]: Simplify (* (exp 0) (+ (* (/ (pow 1 1) 1)))) into 1 1.267 * [backup-simplify]: Simplify (+ (* 1 1) (* 1 1)) into 2 1.270 * [backup-simplify]: Simplify (+ (* 1 2) (* 1 1)) into 3 1.270 * [backup-simplify]: Simplify (- 1) into -1 1.271 * [backup-simplify]: Simplify (* (exp 0) (+ (* (/ (pow -1 1) 1)))) into -1 1.271 * [backup-simplify]: Simplify (+ (* 1 -1) (* -1 1)) into -2 1.272 * [backup-simplify]: Simplify (+ (* 1 -2) (* -1 1)) into -3 1.272 * [backup-simplify]: Simplify (+ 3 -3) into 0 1.272 * [backup-simplify]: Simplify (- 1) into -1 1.273 * [backup-simplify]: Simplify (* (exp 0) (+ (* (/ (pow -1 1) 1)))) into -1 1.273 * [backup-simplify]: Simplify (+ (* 1 -1) (* -1 1)) into -2 1.273 * [backup-simplify]: Simplify (* (exp 0) (+ (* (/ (pow 1 1) 1)))) into 1 1.274 * [backup-simplify]: Simplify (+ (* 1 1) (* 1 1)) into 2 1.274 * [backup-simplify]: Simplify (+ -2 2) into 0 1.274 * [backup-simplify]: Simplify (- 1) into -1 1.275 * [backup-simplify]: Simplify (* (exp 0) (+ (* (/ (pow -1 1) 1)))) into -1 1.275 * [backup-simplify]: Simplify (* (exp 0) (+ (* (/ (pow 1 1) 1)))) into 1 1.276 * [backup-simplify]: Simplify (+ (* 1 -1) (* 1 1)) into 0 1.276 * [backup-simplify]: Simplify (- 0) into 0 1.276 * [backup-simplify]: Simplify (+ 0 0) into 0 1.276 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 2 (/ 0 1)))) into 0 1.277 * [backup-simplify]: Simplify (+ (* 0.5 0) (* 0 2)) into 0 1.277 * [backup-simplify]: Simplify 0 into 0 1.277 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 1 2) 2)) 0) into -1/2 1.278 * [backup-simplify]: Simplify (* (exp im) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 1.278 * [backup-simplify]: Simplify (+ (* (exp im) 0) (+ (* 0 0) (* 0 (exp im)))) into 0 1.279 * [backup-simplify]: Simplify (+ (* (exp im) 0) (+ (* 0 0) (* 0 (pow (exp im) 2)))) into 0 1.279 * [backup-simplify]: Simplify (- im) into (- im) 1.279 * [backup-simplify]: Simplify (- 0) into 0 1.279 * [backup-simplify]: Simplify (- 0) into 0 1.280 * [backup-simplify]: Simplify (* (exp (- im)) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 1.280 * [backup-simplify]: Simplify (+ (* (exp (- im)) 0) (+ (* 0 0) (* 0 (exp (- im))))) into 0 1.281 * [backup-simplify]: Simplify (+ (* (exp (- im)) 0) (+ (* 0 0) (* 0 (pow (exp (- im)) 2)))) into 0 1.281 * [backup-simplify]: Simplify (+ 0 0) into 0 1.282 * [backup-simplify]: Simplify (+ (* (+ (pow (exp im) 3) (pow (exp (- im)) 3)) -1/2) (+ (* 0 0) (* 0 1))) into (- (+ (* 1/2 (pow (exp im) 3)) (* 1/2 (pow (exp (- im)) 3)))) 1.282 * [backup-simplify]: Simplify (- im) into (- im) 1.282 * [backup-simplify]: Simplify (- 0) into 0 1.282 * [backup-simplify]: Simplify (- 0) into 0 1.283 * [backup-simplify]: Simplify (* (exp (- im)) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 1.283 * [backup-simplify]: Simplify (+ (* (exp (- im)) 0) (+ (* 0 0) (* 0 (exp (- im))))) into 0 1.284 * [backup-simplify]: Simplify (* (exp im) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 1.284 * [backup-simplify]: Simplify (+ (* (exp im) 0) (+ (* 0 0) (* 0 (exp im)))) into 0 1.285 * [backup-simplify]: Simplify (+ 0 0) into 0 1.285 * [backup-simplify]: Simplify (- im) into (- im) 1.285 * [backup-simplify]: Simplify (- 0) into 0 1.285 * [backup-simplify]: Simplify (- 0) into 0 1.286 * [backup-simplify]: Simplify (* (exp (- im)) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 1.286 * [backup-simplify]: Simplify (* (exp im) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 1.287 * [backup-simplify]: Simplify (+ (* (exp im) 0) (+ (* 0 0) (* 0 (exp (- im))))) into 0 1.287 * [backup-simplify]: Simplify (- 0) into 0 1.287 * [backup-simplify]: Simplify (+ 0 0) into 0 1.289 * [backup-simplify]: Simplify (- (/ (- (+ (* 1/2 (pow (exp im) 3)) (* 1/2 (pow (exp (- im)) 3)))) (- (+ (pow (exp (- im)) 2) (pow (exp im) 2)) (* (exp im) (exp (- im))))) (+ (* (/ (+ (pow (exp im) 3) (pow (exp (- im)) 3)) (- (+ (pow (exp (- im)) 2) (pow (exp im) 2)) (* (exp im) (exp (- im))))) (/ 0 (- (+ (pow (exp (- im)) 2) (pow (exp im) 2)) (* (exp im) (exp (- im)))))) (* 0 (/ 0 (- (+ (pow (exp (- im)) 2) (pow (exp im) 2)) (* (exp im) (exp (- im)))))))) into (- (+ (* 1/2 (/ (pow (exp (- im)) 3) (- (+ (pow (exp (- im)) 2) (pow (exp im) 2)) (* (exp im) (exp (- im)))))) (* 1/2 (/ (pow (exp im) 3) (- (+ (pow (exp (- im)) 2) (pow (exp im) 2)) (* (exp im) (exp (- im)))))))) 1.290 * [backup-simplify]: Simplify (+ (* 0.5 (- (+ (* 1/2 (/ (pow (exp (- im)) 3) (- (+ (pow (exp (- im)) 2) (pow (exp im) 2)) (* (exp im) (exp (- im)))))) (* 1/2 (/ (pow (exp im) 3) (- (+ (pow (exp (- im)) 2) (pow (exp im) 2)) (* (exp im) (exp (- im))))))))) (+ (* 0 0) (* 0 (/ (+ (pow (exp im) 3) (pow (exp (- im)) 3)) (- (+ (pow (exp (- im)) 2) (pow (exp im) 2)) (* (exp im) (exp (- im)))))))) into (- (+ (* 0.25 (/ (pow (exp (- im)) 3) (- (+ (pow (exp (- im)) 2) (pow (exp im) 2)) (* (exp im) (exp (- im)))))) (* 0.25 (/ (pow (exp im) 3) (- (+ (pow (exp (- im)) 2) (pow (exp im) 2)) (* (exp im) (exp (- im)))))))) 1.290 * [taylor]: Taking taylor expansion of (- (+ (* 0.25 (/ (pow (exp (- im)) 3) (- (+ (pow (exp (- im)) 2) (pow (exp im) 2)) (* (exp im) (exp (- im)))))) (* 0.25 (/ (pow (exp im) 3) (- (+ (pow (exp (- im)) 2) (pow (exp im) 2)) (* (exp im) (exp (- im)))))))) in im 1.290 * [taylor]: Taking taylor expansion of (+ (* 0.25 (/ (pow (exp (- im)) 3) (- (+ (pow (exp (- im)) 2) (pow (exp im) 2)) (* (exp im) (exp (- im)))))) (* 0.25 (/ (pow (exp im) 3) (- (+ (pow (exp (- im)) 2) (pow (exp im) 2)) (* (exp im) (exp (- im))))))) in im 1.290 * [taylor]: Taking taylor expansion of (* 0.25 (/ (pow (exp (- im)) 3) (- (+ (pow (exp (- im)) 2) (pow (exp im) 2)) (* (exp im) (exp (- im)))))) in im 1.291 * [taylor]: Taking taylor expansion of 0.25 in im 1.291 * [backup-simplify]: Simplify 0.25 into 0.25 1.291 * [taylor]: Taking taylor expansion of (/ (pow (exp (- im)) 3) (- (+ (pow (exp (- im)) 2) (pow (exp im) 2)) (* (exp im) (exp (- im))))) in im 1.291 * [taylor]: Taking taylor expansion of (pow (exp (- im)) 3) in im 1.291 * [taylor]: Taking taylor expansion of (exp (- im)) in im 1.291 * [taylor]: Taking taylor expansion of (- im) in im 1.291 * [taylor]: Taking taylor expansion of im in im 1.291 * [backup-simplify]: Simplify 0 into 0 1.291 * [backup-simplify]: Simplify 1 into 1 1.291 * [backup-simplify]: Simplify (- 0) into 0 1.291 * [backup-simplify]: Simplify (- 1) into -1 1.291 * [backup-simplify]: Simplify (exp 0) into 1 1.291 * [taylor]: Taking taylor expansion of (- (+ (pow (exp (- im)) 2) (pow (exp im) 2)) (* (exp im) (exp (- im)))) in im 1.291 * [taylor]: Taking taylor expansion of (+ (pow (exp (- im)) 2) (pow (exp im) 2)) in im 1.291 * [taylor]: Taking taylor expansion of (pow (exp (- im)) 2) in im 1.291 * [taylor]: Taking taylor expansion of (exp (- im)) in im 1.291 * [taylor]: Taking taylor expansion of (- im) in im 1.291 * [taylor]: Taking taylor expansion of im in im 1.291 * [backup-simplify]: Simplify 0 into 0 1.291 * [backup-simplify]: Simplify 1 into 1 1.291 * [backup-simplify]: Simplify (- 0) into 0 1.292 * [backup-simplify]: Simplify (- 1) into -1 1.292 * [backup-simplify]: Simplify (exp 0) into 1 1.292 * [taylor]: Taking taylor expansion of (pow (exp im) 2) in im 1.292 * [taylor]: Taking taylor expansion of (exp im) in im 1.292 * [taylor]: Taking taylor expansion of im in im 1.292 * [backup-simplify]: Simplify 0 into 0 1.292 * [backup-simplify]: Simplify 1 into 1 1.292 * [backup-simplify]: Simplify (exp 0) into 1 1.292 * [taylor]: Taking taylor expansion of (* (exp im) (exp (- im))) in im 1.292 * [taylor]: Taking taylor expansion of (exp im) in im 1.292 * [taylor]: Taking taylor expansion of im in im 1.292 * [backup-simplify]: Simplify 0 into 0 1.292 * [backup-simplify]: Simplify 1 into 1 1.292 * [backup-simplify]: Simplify (exp 0) into 1 1.292 * [taylor]: Taking taylor expansion of (exp (- im)) in im 1.292 * [taylor]: Taking taylor expansion of (- im) in im 1.292 * [taylor]: Taking taylor expansion of im in im 1.292 * [backup-simplify]: Simplify 0 into 0 1.292 * [backup-simplify]: Simplify 1 into 1 1.292 * [backup-simplify]: Simplify (- 0) into 0 1.292 * [backup-simplify]: Simplify (- 1) into -1 1.292 * [backup-simplify]: Simplify (exp 0) into 1 1.293 * [backup-simplify]: Simplify (* 1 1) into 1 1.293 * [backup-simplify]: Simplify (* 1 1) into 1 1.293 * [backup-simplify]: Simplify (* 1 1) into 1 1.293 * [backup-simplify]: Simplify (* 1 1) into 1 1.293 * [backup-simplify]: Simplify (+ 1 1) into 2 1.294 * [backup-simplify]: Simplify (* 1 1) into 1 1.294 * [backup-simplify]: Simplify (- 1) into -1 1.294 * [backup-simplify]: Simplify (+ 2 -1) into 1 1.294 * [backup-simplify]: Simplify (/ 1 1) into 1 1.294 * [taylor]: Taking taylor expansion of (* 0.25 (/ (pow (exp im) 3) (- (+ (pow (exp (- im)) 2) (pow (exp im) 2)) (* (exp im) (exp (- im)))))) in im 1.294 * [taylor]: Taking taylor expansion of 0.25 in im 1.294 * [backup-simplify]: Simplify 0.25 into 0.25 1.294 * [taylor]: Taking taylor expansion of (/ (pow (exp im) 3) (- (+ (pow (exp (- im)) 2) (pow (exp im) 2)) (* (exp im) (exp (- im))))) in im 1.294 * [taylor]: Taking taylor expansion of (pow (exp im) 3) in im 1.294 * [taylor]: Taking taylor expansion of (exp im) in im 1.294 * [taylor]: Taking taylor expansion of im in im 1.294 * [backup-simplify]: Simplify 0 into 0 1.294 * [backup-simplify]: Simplify 1 into 1 1.294 * [backup-simplify]: Simplify (exp 0) into 1 1.294 * [taylor]: Taking taylor expansion of (- (+ (pow (exp (- im)) 2) (pow (exp im) 2)) (* (exp im) (exp (- im)))) in im 1.295 * [taylor]: Taking taylor expansion of (+ (pow (exp (- im)) 2) (pow (exp im) 2)) in im 1.295 * [taylor]: Taking taylor expansion of (pow (exp (- im)) 2) in im 1.295 * [taylor]: Taking taylor expansion of (exp (- im)) in im 1.295 * [taylor]: Taking taylor expansion of (- im) in im 1.295 * [taylor]: Taking taylor expansion of im in im 1.295 * [backup-simplify]: Simplify 0 into 0 1.295 * [backup-simplify]: Simplify 1 into 1 1.295 * [backup-simplify]: Simplify (- 0) into 0 1.295 * [backup-simplify]: Simplify (- 1) into -1 1.295 * [backup-simplify]: Simplify (exp 0) into 1 1.295 * [taylor]: Taking taylor expansion of (pow (exp im) 2) in im 1.295 * [taylor]: Taking taylor expansion of (exp im) in im 1.295 * [taylor]: Taking taylor expansion of im in im 1.295 * [backup-simplify]: Simplify 0 into 0 1.295 * [backup-simplify]: Simplify 1 into 1 1.295 * [backup-simplify]: Simplify (exp 0) into 1 1.295 * [taylor]: Taking taylor expansion of (* (exp im) (exp (- im))) in im 1.295 * [taylor]: Taking taylor expansion of (exp im) in im 1.295 * [taylor]: Taking taylor expansion of im in im 1.295 * [backup-simplify]: Simplify 0 into 0 1.295 * [backup-simplify]: Simplify 1 into 1 1.295 * [backup-simplify]: Simplify (exp 0) into 1 1.295 * [taylor]: Taking taylor expansion of (exp (- im)) in im 1.295 * [taylor]: Taking taylor expansion of (- im) in im 1.295 * [taylor]: Taking taylor expansion of im in im 1.295 * [backup-simplify]: Simplify 0 into 0 1.295 * [backup-simplify]: Simplify 1 into 1 1.296 * [backup-simplify]: Simplify (- 0) into 0 1.296 * [backup-simplify]: Simplify (- 1) into -1 1.296 * [backup-simplify]: Simplify (exp 0) into 1 1.296 * [backup-simplify]: Simplify (* 1 1) into 1 1.296 * [backup-simplify]: Simplify (* 1 1) into 1 1.296 * [backup-simplify]: Simplify (* 1 1) into 1 1.297 * [backup-simplify]: Simplify (* 1 1) into 1 1.297 * [backup-simplify]: Simplify (+ 1 1) into 2 1.297 * [backup-simplify]: Simplify (* 1 1) into 1 1.297 * [backup-simplify]: Simplify (- 1) into -1 1.297 * [backup-simplify]: Simplify (+ 2 -1) into 1 1.298 * [backup-simplify]: Simplify (/ 1 1) into 1 1.298 * [backup-simplify]: Simplify (* 0.25 1) into 0.25 1.298 * [backup-simplify]: Simplify (* 0.25 1) into 0.25 1.298 * [backup-simplify]: Simplify (+ 0.25 0.25) into 0.5 1.299 * [backup-simplify]: Simplify (- 0.5) into (- 0.5) 1.299 * [backup-simplify]: Simplify (- 0.5) into (- 0.5) 1.299 * [backup-simplify]: Simplify 0 into 0 1.300 * [backup-simplify]: Simplify (* (exp 0) (+ (* (/ (pow 1 2) 2)) (* (/ (pow 0 1) 1)))) into 1/2 1.300 * [backup-simplify]: Simplify (+ (* 1 1/2) (+ (* 1 1) (* 1/2 1))) into 2 1.301 * [backup-simplify]: Simplify (+ (* 1 2) (+ (* 1 2) (* 1/2 1))) into 9/2 1.301 * [backup-simplify]: Simplify (- 1) into -1 1.301 * [backup-simplify]: Simplify (- 0) into 0 1.302 * [backup-simplify]: Simplify (* (exp 0) (+ (* (/ (pow -1 2) 2)) (* (/ (pow 0 1) 1)))) into 1/2 1.302 * [backup-simplify]: Simplify (+ (* 1 1/2) (+ (* -1 -1) (* 1/2 1))) into 2 1.303 * [backup-simplify]: Simplify (+ (* 1 2) (+ (* -1 -2) (* 1/2 1))) into 9/2 1.303 * [backup-simplify]: Simplify (+ 9/2 9/2) into 9 1.303 * [backup-simplify]: Simplify (- 1) into -1 1.304 * [backup-simplify]: Simplify (- 0) into 0 1.304 * [backup-simplify]: Simplify (* (exp 0) (+ (* (/ (pow -1 2) 2)) (* (/ (pow 0 1) 1)))) into 1/2 1.305 * [backup-simplify]: Simplify (+ (* 1 1/2) (+ (* -1 -1) (* 1/2 1))) into 2 1.306 * [backup-simplify]: Simplify (* (exp 0) (+ (* (/ (pow 1 2) 2)) (* (/ (pow 0 1) 1)))) into 1/2 1.306 * [backup-simplify]: Simplify (+ (* 1 1/2) (+ (* 1 1) (* 1/2 1))) into 2 1.306 * [backup-simplify]: Simplify (+ 2 2) into 4 1.307 * [backup-simplify]: Simplify (- 1) into -1 1.307 * [backup-simplify]: Simplify (- 0) into 0 1.308 * [backup-simplify]: Simplify (* (exp 0) (+ (* (/ (pow -1 2) 2)) (* (/ (pow 0 1) 1)))) into 1/2 1.309 * [backup-simplify]: Simplify (* (exp 0) (+ (* (/ (pow 1 2) 2)) (* (/ (pow 0 1) 1)))) into 1/2 1.309 * [backup-simplify]: Simplify (+ (* 1 1/2) (+ (* 1 -1) (* 1/2 1))) into 0 1.309 * [backup-simplify]: Simplify (- 0) into 0 1.309 * [backup-simplify]: Simplify (+ 4 0) into 4 1.310 * [backup-simplify]: Simplify (- (/ 9 1) (+ (* 2 (/ 4 1)) (* 0 (/ 0 1)))) into 1 1.311 * [backup-simplify]: Simplify (+ (* 0.5 1) (+ (* 0 0) (* 0 2))) into 0.5 1.311 * [backup-simplify]: Simplify 0.5 into 0.5 1.312 * [backup-simplify]: Simplify (+ (* 0.5 (pow (* im 1) 2)) (+ (* (- 0.5) (pow (* 1 re) 2)) 1.0)) into (- (+ (* 0.5 (pow im 2)) 1.0) (* 0.5 (pow re 2))) 1.312 * [backup-simplify]: Simplify (/ (* (* 0.5 (cos (/ 1 re))) (+ (pow (exp (- (/ 1 im))) 3) (pow (exp (/ 1 im)) 3))) (+ (* (exp (- (/ 1 im))) (exp (- (/ 1 im)))) (- (* (exp (/ 1 im)) (exp (/ 1 im))) (* (exp (- (/ 1 im))) (exp (/ 1 im)))))) into (* 0.5 (/ (* (+ (pow (exp (/ 1 im)) 3) (pow (exp (- (/ 1 im))) 3)) (cos (/ 1 re))) (- (+ (pow (exp (- (/ 1 im))) 2) (pow (exp (/ 1 im)) 2)) (* (exp (- (/ 1 im))) (exp (/ 1 im)))))) 1.312 * [approximate]: Taking taylor expansion of (* 0.5 (/ (* (+ (pow (exp (/ 1 im)) 3) (pow (exp (- (/ 1 im))) 3)) (cos (/ 1 re))) (- (+ (pow (exp (- (/ 1 im))) 2) (pow (exp (/ 1 im)) 2)) (* (exp (- (/ 1 im))) (exp (/ 1 im)))))) in (re im) around 0 1.312 * [taylor]: Taking taylor expansion of (* 0.5 (/ (* (+ (pow (exp (/ 1 im)) 3) (pow (exp (- (/ 1 im))) 3)) (cos (/ 1 re))) (- (+ (pow (exp (- (/ 1 im))) 2) (pow (exp (/ 1 im)) 2)) (* (exp (- (/ 1 im))) (exp (/ 1 im)))))) in im 1.313 * [taylor]: Taking taylor expansion of 0.5 in im 1.313 * [backup-simplify]: Simplify 0.5 into 0.5 1.313 * [taylor]: Taking taylor expansion of (/ (* (+ (pow (exp (/ 1 im)) 3) (pow (exp (- (/ 1 im))) 3)) (cos (/ 1 re))) (- (+ (pow (exp (- (/ 1 im))) 2) (pow (exp (/ 1 im)) 2)) (* (exp (- (/ 1 im))) (exp (/ 1 im))))) in im 1.313 * [taylor]: Taking taylor expansion of (* (+ (pow (exp (/ 1 im)) 3) (pow (exp (- (/ 1 im))) 3)) (cos (/ 1 re))) in im 1.313 * [taylor]: Taking taylor expansion of (+ (pow (exp (/ 1 im)) 3) (pow (exp (- (/ 1 im))) 3)) in im 1.313 * [taylor]: Taking taylor expansion of (pow (exp (/ 1 im)) 3) in im 1.313 * [taylor]: Taking taylor expansion of (exp (/ 1 im)) in im 1.313 * [taylor]: Taking taylor expansion of (/ 1 im) in im 1.313 * [taylor]: Taking taylor expansion of im in im 1.313 * [backup-simplify]: Simplify 0 into 0 1.313 * [backup-simplify]: Simplify 1 into 1 1.313 * [backup-simplify]: Simplify (/ 1 1) into 1 1.313 * [backup-simplify]: Simplify (exp (/ 1 im)) into (exp (/ 1 im)) 1.313 * [taylor]: Taking taylor expansion of (pow (exp (- (/ 1 im))) 3) in im 1.313 * [taylor]: Taking taylor expansion of (exp (- (/ 1 im))) in im 1.313 * [taylor]: Taking taylor expansion of (- (/ 1 im)) in im 1.313 * [taylor]: Taking taylor expansion of (/ 1 im) in im 1.313 * [taylor]: Taking taylor expansion of im in im 1.313 * [backup-simplify]: Simplify 0 into 0 1.313 * [backup-simplify]: Simplify 1 into 1 1.313 * [backup-simplify]: Simplify (/ 1 1) into 1 1.314 * [backup-simplify]: Simplify (- 1) into -1 1.314 * [backup-simplify]: Simplify (exp (- (/ 1 im))) into (exp (- (/ 1 im))) 1.314 * [taylor]: Taking taylor expansion of (cos (/ 1 re)) in im 1.314 * [taylor]: Taking taylor expansion of (/ 1 re) in im 1.314 * [taylor]: Taking taylor expansion of re in im 1.314 * [backup-simplify]: Simplify re into re 1.314 * [backup-simplify]: Simplify (/ 1 re) into (/ 1 re) 1.314 * [backup-simplify]: Simplify (cos (/ 1 re)) into (cos (/ 1 re)) 1.314 * [backup-simplify]: Simplify (sin (/ 1 re)) into (sin (/ 1 re)) 1.314 * [taylor]: Taking taylor expansion of (- (+ (pow (exp (- (/ 1 im))) 2) (pow (exp (/ 1 im)) 2)) (* (exp (- (/ 1 im))) (exp (/ 1 im)))) in im 1.314 * [taylor]: Taking taylor expansion of (+ (pow (exp (- (/ 1 im))) 2) (pow (exp (/ 1 im)) 2)) in im 1.314 * [taylor]: Taking taylor expansion of (pow (exp (- (/ 1 im))) 2) in im 1.314 * [taylor]: Taking taylor expansion of (exp (- (/ 1 im))) in im 1.314 * [taylor]: Taking taylor expansion of (- (/ 1 im)) in im 1.314 * [taylor]: Taking taylor expansion of (/ 1 im) in im 1.314 * [taylor]: Taking taylor expansion of im in im 1.314 * [backup-simplify]: Simplify 0 into 0 1.314 * [backup-simplify]: Simplify 1 into 1 1.314 * [backup-simplify]: Simplify (/ 1 1) into 1 1.314 * [backup-simplify]: Simplify (- 1) into -1 1.314 * [backup-simplify]: Simplify (exp (- (/ 1 im))) into (exp (- (/ 1 im))) 1.314 * [taylor]: Taking taylor expansion of (pow (exp (/ 1 im)) 2) in im 1.314 * [taylor]: Taking taylor expansion of (exp (/ 1 im)) in im 1.315 * [taylor]: Taking taylor expansion of (/ 1 im) in im 1.315 * [taylor]: Taking taylor expansion of im in im 1.315 * [backup-simplify]: Simplify 0 into 0 1.315 * [backup-simplify]: Simplify 1 into 1 1.315 * [backup-simplify]: Simplify (/ 1 1) into 1 1.315 * [backup-simplify]: Simplify (exp (/ 1 im)) into (exp (/ 1 im)) 1.315 * [taylor]: Taking taylor expansion of (* (exp (- (/ 1 im))) (exp (/ 1 im))) in im 1.315 * [taylor]: Taking taylor expansion of (exp (- (/ 1 im))) in im 1.315 * [taylor]: Taking taylor expansion of (- (/ 1 im)) in im 1.315 * [taylor]: Taking taylor expansion of (/ 1 im) in im 1.315 * [taylor]: Taking taylor expansion of im in im 1.315 * [backup-simplify]: Simplify 0 into 0 1.315 * [backup-simplify]: Simplify 1 into 1 1.315 * [backup-simplify]: Simplify (/ 1 1) into 1 1.315 * [backup-simplify]: Simplify (- 1) into -1 1.315 * [backup-simplify]: Simplify (exp (- (/ 1 im))) into (exp (- (/ 1 im))) 1.315 * [taylor]: Taking taylor expansion of (exp (/ 1 im)) in im 1.315 * [taylor]: Taking taylor expansion of (/ 1 im) in im 1.315 * [taylor]: Taking taylor expansion of im in im 1.315 * [backup-simplify]: Simplify 0 into 0 1.316 * [backup-simplify]: Simplify 1 into 1 1.316 * [backup-simplify]: Simplify (/ 1 1) into 1 1.316 * [backup-simplify]: Simplify (exp (/ 1 im)) into (exp (/ 1 im)) 1.316 * [backup-simplify]: Simplify (* (exp (/ 1 im)) (exp (/ 1 im))) into (pow (exp (/ 1 im)) 2) 1.316 * [backup-simplify]: Simplify (* (exp (/ 1 im)) (pow (exp (/ 1 im)) 2)) into (pow (exp (/ 1 im)) 3) 1.316 * [backup-simplify]: Simplify (* (exp (- (/ 1 im))) (exp (- (/ 1 im)))) into (pow (exp (- (/ 1 im))) 2) 1.316 * [backup-simplify]: Simplify (* (exp (- (/ 1 im))) (pow (exp (- (/ 1 im))) 2)) into (pow (exp (- (/ 1 im))) 3) 1.316 * [backup-simplify]: Simplify (+ (pow (exp (/ 1 im)) 3) (pow (exp (- (/ 1 im))) 3)) into (+ (pow (exp (- (/ 1 im))) 3) (pow (exp (/ 1 im)) 3)) 1.317 * [backup-simplify]: Simplify (* (cos (/ 1 re)) 1) into (cos (/ 1 re)) 1.317 * [backup-simplify]: Simplify (* (sin (/ 1 re)) 0) into 0 1.317 * [backup-simplify]: Simplify (- 0) into 0 1.317 * [backup-simplify]: Simplify (+ (cos (/ 1 re)) 0) into (cos (/ 1 re)) 1.317 * [backup-simplify]: Simplify (* (+ (pow (exp (- (/ 1 im))) 3) (pow (exp (/ 1 im)) 3)) (cos (/ 1 re))) into (* (+ (pow (exp (/ 1 im)) 3) (pow (exp (- (/ 1 im))) 3)) (cos (/ 1 re))) 1.317 * [backup-simplify]: Simplify (* (exp (- (/ 1 im))) (exp (- (/ 1 im)))) into (pow (exp (- (/ 1 im))) 2) 1.317 * [backup-simplify]: Simplify (* (exp (/ 1 im)) (exp (/ 1 im))) into (pow (exp (/ 1 im)) 2) 1.318 * [backup-simplify]: Simplify (+ (pow (exp (- (/ 1 im))) 2) (pow (exp (/ 1 im)) 2)) into (+ (pow (exp (- (/ 1 im))) 2) (pow (exp (/ 1 im)) 2)) 1.318 * [backup-simplify]: Simplify (* (exp (- (/ 1 im))) (exp (/ 1 im))) into (* (exp (- (/ 1 im))) (exp (/ 1 im))) 1.318 * [backup-simplify]: Simplify (- (* (exp (- (/ 1 im))) (exp (/ 1 im)))) into (- (* (exp (- (/ 1 im))) (exp (/ 1 im)))) 1.318 * [backup-simplify]: Simplify (+ (+ (pow (exp (- (/ 1 im))) 2) (pow (exp (/ 1 im)) 2)) (- (* (exp (- (/ 1 im))) (exp (/ 1 im))))) into (- (+ (pow (exp (- (/ 1 im))) 2) (pow (exp (/ 1 im)) 2)) (* (exp (- (/ 1 im))) (exp (/ 1 im)))) 1.319 * [backup-simplify]: Simplify (/ (* (+ (pow (exp (/ 1 im)) 3) (pow (exp (- (/ 1 im))) 3)) (cos (/ 1 re))) (- (+ (pow (exp (- (/ 1 im))) 2) (pow (exp (/ 1 im)) 2)) (* (exp (- (/ 1 im))) (exp (/ 1 im))))) into (/ (* (cos (/ 1 re)) (+ (pow (exp (- (/ 1 im))) 3) (pow (exp (/ 1 im)) 3))) (- (+ (pow (exp (- (/ 1 im))) 2) (pow (exp (/ 1 im)) 2)) (* (exp (- (/ 1 im))) (exp (/ 1 im))))) 1.319 * [taylor]: Taking taylor expansion of (* 0.5 (/ (* (+ (pow (exp (/ 1 im)) 3) (pow (exp (- (/ 1 im))) 3)) (cos (/ 1 re))) (- (+ (pow (exp (- (/ 1 im))) 2) (pow (exp (/ 1 im)) 2)) (* (exp (- (/ 1 im))) (exp (/ 1 im)))))) in re 1.319 * [taylor]: Taking taylor expansion of 0.5 in re 1.319 * [backup-simplify]: Simplify 0.5 into 0.5 1.319 * [taylor]: Taking taylor expansion of (/ (* (+ (pow (exp (/ 1 im)) 3) (pow (exp (- (/ 1 im))) 3)) (cos (/ 1 re))) (- (+ (pow (exp (- (/ 1 im))) 2) (pow (exp (/ 1 im)) 2)) (* (exp (- (/ 1 im))) (exp (/ 1 im))))) in re 1.319 * [taylor]: Taking taylor expansion of (* (+ (pow (exp (/ 1 im)) 3) (pow (exp (- (/ 1 im))) 3)) (cos (/ 1 re))) in re 1.319 * [taylor]: Taking taylor expansion of (+ (pow (exp (/ 1 im)) 3) (pow (exp (- (/ 1 im))) 3)) in re 1.319 * [taylor]: Taking taylor expansion of (pow (exp (/ 1 im)) 3) in re 1.319 * [taylor]: Taking taylor expansion of (exp (/ 1 im)) in re 1.319 * [taylor]: Taking taylor expansion of (/ 1 im) in re 1.319 * [taylor]: Taking taylor expansion of im in re 1.319 * [backup-simplify]: Simplify im into im 1.319 * [backup-simplify]: Simplify (/ 1 im) into (/ 1 im) 1.319 * [backup-simplify]: Simplify (exp (/ 1 im)) into (exp (/ 1 im)) 1.319 * [taylor]: Taking taylor expansion of (pow (exp (- (/ 1 im))) 3) in re 1.319 * [taylor]: Taking taylor expansion of (exp (- (/ 1 im))) in re 1.319 * [taylor]: Taking taylor expansion of (- (/ 1 im)) in re 1.319 * [taylor]: Taking taylor expansion of (/ 1 im) in re 1.319 * [taylor]: Taking taylor expansion of im in re 1.319 * [backup-simplify]: Simplify im into im 1.319 * [backup-simplify]: Simplify (/ 1 im) into (/ 1 im) 1.319 * [backup-simplify]: Simplify (- (/ 1 im)) into (- (/ 1 im)) 1.319 * [backup-simplify]: Simplify (- (/ 1 im)) into (- (/ 1 im)) 1.319 * [backup-simplify]: Simplify (exp (- (/ 1 im))) into (exp (- (/ 1 im))) 1.319 * [taylor]: Taking taylor expansion of (cos (/ 1 re)) in re 1.319 * [taylor]: Taking taylor expansion of (/ 1 re) in re 1.319 * [taylor]: Taking taylor expansion of re in re 1.319 * [backup-simplify]: Simplify 0 into 0 1.319 * [backup-simplify]: Simplify 1 into 1 1.319 * [backup-simplify]: Simplify (/ 1 1) into 1 1.320 * [backup-simplify]: Simplify (cos (/ 1 re)) into (cos (/ 1 re)) 1.320 * [taylor]: Taking taylor expansion of (- (+ (pow (exp (- (/ 1 im))) 2) (pow (exp (/ 1 im)) 2)) (* (exp (- (/ 1 im))) (exp (/ 1 im)))) in re 1.320 * [taylor]: Taking taylor expansion of (+ (pow (exp (- (/ 1 im))) 2) (pow (exp (/ 1 im)) 2)) in re 1.320 * [taylor]: Taking taylor expansion of (pow (exp (- (/ 1 im))) 2) in re 1.320 * [taylor]: Taking taylor expansion of (exp (- (/ 1 im))) in re 1.320 * [taylor]: Taking taylor expansion of (- (/ 1 im)) in re 1.320 * [taylor]: Taking taylor expansion of (/ 1 im) in re 1.320 * [taylor]: Taking taylor expansion of im in re 1.320 * [backup-simplify]: Simplify im into im 1.320 * [backup-simplify]: Simplify (/ 1 im) into (/ 1 im) 1.320 * [backup-simplify]: Simplify (- (/ 1 im)) into (- (/ 1 im)) 1.320 * [backup-simplify]: Simplify (- (/ 1 im)) into (- (/ 1 im)) 1.320 * [backup-simplify]: Simplify (exp (- (/ 1 im))) into (exp (- (/ 1 im))) 1.320 * [taylor]: Taking taylor expansion of (pow (exp (/ 1 im)) 2) in re 1.320 * [taylor]: Taking taylor expansion of (exp (/ 1 im)) in re 1.320 * [taylor]: Taking taylor expansion of (/ 1 im) in re 1.320 * [taylor]: Taking taylor expansion of im in re 1.320 * [backup-simplify]: Simplify im into im 1.320 * [backup-simplify]: Simplify (/ 1 im) into (/ 1 im) 1.320 * [backup-simplify]: Simplify (exp (/ 1 im)) into (exp (/ 1 im)) 1.320 * [taylor]: Taking taylor expansion of (* (exp (- (/ 1 im))) (exp (/ 1 im))) in re 1.320 * [taylor]: Taking taylor expansion of (exp (- (/ 1 im))) in re 1.320 * [taylor]: Taking taylor expansion of (- (/ 1 im)) in re 1.320 * [taylor]: Taking taylor expansion of (/ 1 im) in re 1.320 * [taylor]: Taking taylor expansion of im in re 1.320 * [backup-simplify]: Simplify im into im 1.320 * [backup-simplify]: Simplify (/ 1 im) into (/ 1 im) 1.320 * [backup-simplify]: Simplify (- (/ 1 im)) into (- (/ 1 im)) 1.320 * [backup-simplify]: Simplify (- (/ 1 im)) into (- (/ 1 im)) 1.320 * [backup-simplify]: Simplify (exp (- (/ 1 im))) into (exp (- (/ 1 im))) 1.320 * [taylor]: Taking taylor expansion of (exp (/ 1 im)) in re 1.320 * [taylor]: Taking taylor expansion of (/ 1 im) in re 1.320 * [taylor]: Taking taylor expansion of im in re 1.320 * [backup-simplify]: Simplify im into im 1.320 * [backup-simplify]: Simplify (/ 1 im) into (/ 1 im) 1.320 * [backup-simplify]: Simplify (exp (/ 1 im)) into (exp (/ 1 im)) 1.321 * [backup-simplify]: Simplify (* (exp (/ 1 im)) (exp (/ 1 im))) into (pow (exp (/ 1 im)) 2) 1.321 * [backup-simplify]: Simplify (* (exp (/ 1 im)) (pow (exp (/ 1 im)) 2)) into (pow (exp (/ 1 im)) 3) 1.321 * [backup-simplify]: Simplify (* (exp (- (/ 1 im))) (exp (- (/ 1 im)))) into (pow (exp (- (/ 1 im))) 2) 1.321 * [backup-simplify]: Simplify (* (exp (- (/ 1 im))) (pow (exp (- (/ 1 im))) 2)) into (pow (exp (- (/ 1 im))) 3) 1.321 * [backup-simplify]: Simplify (+ (pow (exp (/ 1 im)) 3) (pow (exp (- (/ 1 im))) 3)) into (+ (pow (exp (- (/ 1 im))) 3) (pow (exp (/ 1 im)) 3)) 1.321 * [backup-simplify]: Simplify (* (+ (pow (exp (- (/ 1 im))) 3) (pow (exp (/ 1 im)) 3)) (cos (/ 1 re))) into (* (+ (pow (exp (/ 1 im)) 3) (pow (exp (- (/ 1 im))) 3)) (cos (/ 1 re))) 1.321 * [backup-simplify]: Simplify (* (exp (- (/ 1 im))) (exp (- (/ 1 im)))) into (pow (exp (- (/ 1 im))) 2) 1.322 * [backup-simplify]: Simplify (* (exp (/ 1 im)) (exp (/ 1 im))) into (pow (exp (/ 1 im)) 2) 1.322 * [backup-simplify]: Simplify (+ (pow (exp (- (/ 1 im))) 2) (pow (exp (/ 1 im)) 2)) into (+ (pow (exp (- (/ 1 im))) 2) (pow (exp (/ 1 im)) 2)) 1.322 * [backup-simplify]: Simplify (* (exp (- (/ 1 im))) (exp (/ 1 im))) into (* (exp (- (/ 1 im))) (exp (/ 1 im))) 1.322 * [backup-simplify]: Simplify (- (* (exp (- (/ 1 im))) (exp (/ 1 im)))) into (- (* (exp (- (/ 1 im))) (exp (/ 1 im)))) 1.322 * [backup-simplify]: Simplify (+ (+ (pow (exp (- (/ 1 im))) 2) (pow (exp (/ 1 im)) 2)) (- (* (exp (- (/ 1 im))) (exp (/ 1 im))))) into (- (+ (pow (exp (- (/ 1 im))) 2) (pow (exp (/ 1 im)) 2)) (* (exp (- (/ 1 im))) (exp (/ 1 im)))) 1.323 * [backup-simplify]: Simplify (/ (* (+ (pow (exp (/ 1 im)) 3) (pow (exp (- (/ 1 im))) 3)) (cos (/ 1 re))) (- (+ (pow (exp (- (/ 1 im))) 2) (pow (exp (/ 1 im)) 2)) (* (exp (- (/ 1 im))) (exp (/ 1 im))))) into (/ (* (cos (/ 1 re)) (+ (pow (exp (- (/ 1 im))) 3) (pow (exp (/ 1 im)) 3))) (- (+ (pow (exp (- (/ 1 im))) 2) (pow (exp (/ 1 im)) 2)) (* (exp (- (/ 1 im))) (exp (/ 1 im))))) 1.323 * [taylor]: Taking taylor expansion of (* 0.5 (/ (* (+ (pow (exp (/ 1 im)) 3) (pow (exp (- (/ 1 im))) 3)) (cos (/ 1 re))) (- (+ (pow (exp (- (/ 1 im))) 2) (pow (exp (/ 1 im)) 2)) (* (exp (- (/ 1 im))) (exp (/ 1 im)))))) in re 1.323 * [taylor]: Taking taylor expansion of 0.5 in re 1.323 * [backup-simplify]: Simplify 0.5 into 0.5 1.323 * [taylor]: Taking taylor expansion of (/ (* (+ (pow (exp (/ 1 im)) 3) (pow (exp (- (/ 1 im))) 3)) (cos (/ 1 re))) (- (+ (pow (exp (- (/ 1 im))) 2) (pow (exp (/ 1 im)) 2)) (* (exp (- (/ 1 im))) (exp (/ 1 im))))) in re 1.323 * [taylor]: Taking taylor expansion of (* (+ (pow (exp (/ 1 im)) 3) (pow (exp (- (/ 1 im))) 3)) (cos (/ 1 re))) in re 1.323 * [taylor]: Taking taylor expansion of (+ (pow (exp (/ 1 im)) 3) (pow (exp (- (/ 1 im))) 3)) in re 1.323 * [taylor]: Taking taylor expansion of (pow (exp (/ 1 im)) 3) in re 1.323 * [taylor]: Taking taylor expansion of (exp (/ 1 im)) in re 1.323 * [taylor]: Taking taylor expansion of (/ 1 im) in re 1.323 * [taylor]: Taking taylor expansion of im in re 1.323 * [backup-simplify]: Simplify im into im 1.323 * [backup-simplify]: Simplify (/ 1 im) into (/ 1 im) 1.323 * [backup-simplify]: Simplify (exp (/ 1 im)) into (exp (/ 1 im)) 1.323 * [taylor]: Taking taylor expansion of (pow (exp (- (/ 1 im))) 3) in re 1.323 * [taylor]: Taking taylor expansion of (exp (- (/ 1 im))) in re 1.323 * [taylor]: Taking taylor expansion of (- (/ 1 im)) in re 1.323 * [taylor]: Taking taylor expansion of (/ 1 im) in re 1.323 * [taylor]: Taking taylor expansion of im in re 1.323 * [backup-simplify]: Simplify im into im 1.323 * [backup-simplify]: Simplify (/ 1 im) into (/ 1 im) 1.323 * [backup-simplify]: Simplify (- (/ 1 im)) into (- (/ 1 im)) 1.323 * [backup-simplify]: Simplify (- (/ 1 im)) into (- (/ 1 im)) 1.323 * [backup-simplify]: Simplify (exp (- (/ 1 im))) into (exp (- (/ 1 im))) 1.323 * [taylor]: Taking taylor expansion of (cos (/ 1 re)) in re 1.323 * [taylor]: Taking taylor expansion of (/ 1 re) in re 1.323 * [taylor]: Taking taylor expansion of re in re 1.323 * [backup-simplify]: Simplify 0 into 0 1.323 * [backup-simplify]: Simplify 1 into 1 1.324 * [backup-simplify]: Simplify (/ 1 1) into 1 1.324 * [backup-simplify]: Simplify (cos (/ 1 re)) into (cos (/ 1 re)) 1.324 * [taylor]: Taking taylor expansion of (- (+ (pow (exp (- (/ 1 im))) 2) (pow (exp (/ 1 im)) 2)) (* (exp (- (/ 1 im))) (exp (/ 1 im)))) in re 1.324 * [taylor]: Taking taylor expansion of (+ (pow (exp (- (/ 1 im))) 2) (pow (exp (/ 1 im)) 2)) in re 1.324 * [taylor]: Taking taylor expansion of (pow (exp (- (/ 1 im))) 2) in re 1.324 * [taylor]: Taking taylor expansion of (exp (- (/ 1 im))) in re 1.324 * [taylor]: Taking taylor expansion of (- (/ 1 im)) in re 1.324 * [taylor]: Taking taylor expansion of (/ 1 im) in re 1.324 * [taylor]: Taking taylor expansion of im in re 1.324 * [backup-simplify]: Simplify im into im 1.324 * [backup-simplify]: Simplify (/ 1 im) into (/ 1 im) 1.324 * [backup-simplify]: Simplify (- (/ 1 im)) into (- (/ 1 im)) 1.324 * [backup-simplify]: Simplify (- (/ 1 im)) into (- (/ 1 im)) 1.324 * [backup-simplify]: Simplify (exp (- (/ 1 im))) into (exp (- (/ 1 im))) 1.324 * [taylor]: Taking taylor expansion of (pow (exp (/ 1 im)) 2) in re 1.324 * [taylor]: Taking taylor expansion of (exp (/ 1 im)) in re 1.324 * [taylor]: Taking taylor expansion of (/ 1 im) in re 1.324 * [taylor]: Taking taylor expansion of im in re 1.324 * [backup-simplify]: Simplify im into im 1.324 * [backup-simplify]: Simplify (/ 1 im) into (/ 1 im) 1.324 * [backup-simplify]: Simplify (exp (/ 1 im)) into (exp (/ 1 im)) 1.324 * [taylor]: Taking taylor expansion of (* (exp (- (/ 1 im))) (exp (/ 1 im))) in re 1.324 * [taylor]: Taking taylor expansion of (exp (- (/ 1 im))) in re 1.324 * [taylor]: Taking taylor expansion of (- (/ 1 im)) in re 1.324 * [taylor]: Taking taylor expansion of (/ 1 im) in re 1.324 * [taylor]: Taking taylor expansion of im in re 1.324 * [backup-simplify]: Simplify im into im 1.324 * [backup-simplify]: Simplify (/ 1 im) into (/ 1 im) 1.324 * [backup-simplify]: Simplify (- (/ 1 im)) into (- (/ 1 im)) 1.324 * [backup-simplify]: Simplify (- (/ 1 im)) into (- (/ 1 im)) 1.324 * [backup-simplify]: Simplify (exp (- (/ 1 im))) into (exp (- (/ 1 im))) 1.325 * [taylor]: Taking taylor expansion of (exp (/ 1 im)) in re 1.325 * [taylor]: Taking taylor expansion of (/ 1 im) in re 1.325 * [taylor]: Taking taylor expansion of im in re 1.325 * [backup-simplify]: Simplify im into im 1.325 * [backup-simplify]: Simplify (/ 1 im) into (/ 1 im) 1.325 * [backup-simplify]: Simplify (exp (/ 1 im)) into (exp (/ 1 im)) 1.325 * [backup-simplify]: Simplify (* (exp (/ 1 im)) (exp (/ 1 im))) into (pow (exp (/ 1 im)) 2) 1.325 * [backup-simplify]: Simplify (* (exp (/ 1 im)) (pow (exp (/ 1 im)) 2)) into (pow (exp (/ 1 im)) 3) 1.325 * [backup-simplify]: Simplify (* (exp (- (/ 1 im))) (exp (- (/ 1 im)))) into (pow (exp (- (/ 1 im))) 2) 1.325 * [backup-simplify]: Simplify (* (exp (- (/ 1 im))) (pow (exp (- (/ 1 im))) 2)) into (pow (exp (- (/ 1 im))) 3) 1.325 * [backup-simplify]: Simplify (+ (pow (exp (/ 1 im)) 3) (pow (exp (- (/ 1 im))) 3)) into (+ (pow (exp (- (/ 1 im))) 3) (pow (exp (/ 1 im)) 3)) 1.326 * [backup-simplify]: Simplify (* (+ (pow (exp (- (/ 1 im))) 3) (pow (exp (/ 1 im)) 3)) (cos (/ 1 re))) into (* (+ (pow (exp (/ 1 im)) 3) (pow (exp (- (/ 1 im))) 3)) (cos (/ 1 re))) 1.326 * [backup-simplify]: Simplify (* (exp (- (/ 1 im))) (exp (- (/ 1 im)))) into (pow (exp (- (/ 1 im))) 2) 1.326 * [backup-simplify]: Simplify (* (exp (/ 1 im)) (exp (/ 1 im))) into (pow (exp (/ 1 im)) 2) 1.326 * [backup-simplify]: Simplify (+ (pow (exp (- (/ 1 im))) 2) (pow (exp (/ 1 im)) 2)) into (+ (pow (exp (- (/ 1 im))) 2) (pow (exp (/ 1 im)) 2)) 1.326 * [backup-simplify]: Simplify (* (exp (- (/ 1 im))) (exp (/ 1 im))) into (* (exp (- (/ 1 im))) (exp (/ 1 im))) 1.326 * [backup-simplify]: Simplify (- (* (exp (- (/ 1 im))) (exp (/ 1 im)))) into (- (* (exp (- (/ 1 im))) (exp (/ 1 im)))) 1.326 * [backup-simplify]: Simplify (+ (+ (pow (exp (- (/ 1 im))) 2) (pow (exp (/ 1 im)) 2)) (- (* (exp (- (/ 1 im))) (exp (/ 1 im))))) into (- (+ (pow (exp (- (/ 1 im))) 2) (pow (exp (/ 1 im)) 2)) (* (exp (- (/ 1 im))) (exp (/ 1 im)))) 1.327 * [backup-simplify]: Simplify (/ (* (+ (pow (exp (/ 1 im)) 3) (pow (exp (- (/ 1 im))) 3)) (cos (/ 1 re))) (- (+ (pow (exp (- (/ 1 im))) 2) (pow (exp (/ 1 im)) 2)) (* (exp (- (/ 1 im))) (exp (/ 1 im))))) into (/ (* (cos (/ 1 re)) (+ (pow (exp (- (/ 1 im))) 3) (pow (exp (/ 1 im)) 3))) (- (+ (pow (exp (- (/ 1 im))) 2) (pow (exp (/ 1 im)) 2)) (* (exp (- (/ 1 im))) (exp (/ 1 im))))) 1.328 * [backup-simplify]: Simplify (* 0.5 (/ (* (cos (/ 1 re)) (+ (pow (exp (- (/ 1 im))) 3) (pow (exp (/ 1 im)) 3))) (- (+ (pow (exp (- (/ 1 im))) 2) (pow (exp (/ 1 im)) 2)) (* (exp (- (/ 1 im))) (exp (/ 1 im)))))) into (* 0.5 (/ (* (+ (pow (exp (/ 1 im)) 3) (pow (exp (- (/ 1 im))) 3)) (cos (/ 1 re))) (- (+ (pow (exp (- (/ 1 im))) 2) (pow (exp (/ 1 im)) 2)) (* (exp (- (/ 1 im))) (exp (/ 1 im)))))) 1.328 * [taylor]: Taking taylor expansion of (* 0.5 (/ (* (+ (pow (exp (/ 1 im)) 3) (pow (exp (- (/ 1 im))) 3)) (cos (/ 1 re))) (- (+ (pow (exp (- (/ 1 im))) 2) (pow (exp (/ 1 im)) 2)) (* (exp (- (/ 1 im))) (exp (/ 1 im)))))) in im 1.328 * [taylor]: Taking taylor expansion of 0.5 in im 1.328 * [backup-simplify]: Simplify 0.5 into 0.5 1.328 * [taylor]: Taking taylor expansion of (/ (* (+ (pow (exp (/ 1 im)) 3) (pow (exp (- (/ 1 im))) 3)) (cos (/ 1 re))) (- (+ (pow (exp (- (/ 1 im))) 2) (pow (exp (/ 1 im)) 2)) (* (exp (- (/ 1 im))) (exp (/ 1 im))))) in im 1.328 * [taylor]: Taking taylor expansion of (* (+ (pow (exp (/ 1 im)) 3) (pow (exp (- (/ 1 im))) 3)) (cos (/ 1 re))) in im 1.328 * [taylor]: Taking taylor expansion of (+ (pow (exp (/ 1 im)) 3) (pow (exp (- (/ 1 im))) 3)) in im 1.328 * [taylor]: Taking taylor expansion of (pow (exp (/ 1 im)) 3) in im 1.328 * [taylor]: Taking taylor expansion of (exp (/ 1 im)) in im 1.328 * [taylor]: Taking taylor expansion of (/ 1 im) in im 1.328 * [taylor]: Taking taylor expansion of im in im 1.328 * [backup-simplify]: Simplify 0 into 0 1.328 * [backup-simplify]: Simplify 1 into 1 1.328 * [backup-simplify]: Simplify (/ 1 1) into 1 1.328 * [backup-simplify]: Simplify (exp (/ 1 im)) into (exp (/ 1 im)) 1.328 * [taylor]: Taking taylor expansion of (pow (exp (- (/ 1 im))) 3) in im 1.328 * [taylor]: Taking taylor expansion of (exp (- (/ 1 im))) in im 1.328 * [taylor]: Taking taylor expansion of (- (/ 1 im)) in im 1.328 * [taylor]: Taking taylor expansion of (/ 1 im) in im 1.328 * [taylor]: Taking taylor expansion of im in im 1.328 * [backup-simplify]: Simplify 0 into 0 1.328 * [backup-simplify]: Simplify 1 into 1 1.328 * [backup-simplify]: Simplify (/ 1 1) into 1 1.329 * [backup-simplify]: Simplify (- 1) into -1 1.329 * [backup-simplify]: Simplify (exp (- (/ 1 im))) into (exp (- (/ 1 im))) 1.329 * [taylor]: Taking taylor expansion of (cos (/ 1 re)) in im 1.329 * [taylor]: Taking taylor expansion of (/ 1 re) in im 1.329 * [taylor]: Taking taylor expansion of re in im 1.329 * [backup-simplify]: Simplify re into re 1.329 * [backup-simplify]: Simplify (/ 1 re) into (/ 1 re) 1.329 * [backup-simplify]: Simplify (cos (/ 1 re)) into (cos (/ 1 re)) 1.329 * [backup-simplify]: Simplify (sin (/ 1 re)) into (sin (/ 1 re)) 1.329 * [taylor]: Taking taylor expansion of (- (+ (pow (exp (- (/ 1 im))) 2) (pow (exp (/ 1 im)) 2)) (* (exp (- (/ 1 im))) (exp (/ 1 im)))) in im 1.329 * [taylor]: Taking taylor expansion of (+ (pow (exp (- (/ 1 im))) 2) (pow (exp (/ 1 im)) 2)) in im 1.329 * [taylor]: Taking taylor expansion of (pow (exp (- (/ 1 im))) 2) in im 1.329 * [taylor]: Taking taylor expansion of (exp (- (/ 1 im))) in im 1.329 * [taylor]: Taking taylor expansion of (- (/ 1 im)) in im 1.329 * [taylor]: Taking taylor expansion of (/ 1 im) in im 1.329 * [taylor]: Taking taylor expansion of im in im 1.329 * [backup-simplify]: Simplify 0 into 0 1.329 * [backup-simplify]: Simplify 1 into 1 1.329 * [backup-simplify]: Simplify (/ 1 1) into 1 1.329 * [backup-simplify]: Simplify (- 1) into -1 1.330 * [backup-simplify]: Simplify (exp (- (/ 1 im))) into (exp (- (/ 1 im))) 1.330 * [taylor]: Taking taylor expansion of (pow (exp (/ 1 im)) 2) in im 1.330 * [taylor]: Taking taylor expansion of (exp (/ 1 im)) in im 1.330 * [taylor]: Taking taylor expansion of (/ 1 im) in im 1.330 * [taylor]: Taking taylor expansion of im in im 1.330 * [backup-simplify]: Simplify 0 into 0 1.330 * [backup-simplify]: Simplify 1 into 1 1.330 * [backup-simplify]: Simplify (/ 1 1) into 1 1.330 * [backup-simplify]: Simplify (exp (/ 1 im)) into (exp (/ 1 im)) 1.330 * [taylor]: Taking taylor expansion of (* (exp (- (/ 1 im))) (exp (/ 1 im))) in im 1.330 * [taylor]: Taking taylor expansion of (exp (- (/ 1 im))) in im 1.330 * [taylor]: Taking taylor expansion of (- (/ 1 im)) in im 1.330 * [taylor]: Taking taylor expansion of (/ 1 im) in im 1.330 * [taylor]: Taking taylor expansion of im in im 1.330 * [backup-simplify]: Simplify 0 into 0 1.330 * [backup-simplify]: Simplify 1 into 1 1.330 * [backup-simplify]: Simplify (/ 1 1) into 1 1.330 * [backup-simplify]: Simplify (- 1) into -1 1.331 * [backup-simplify]: Simplify (exp (- (/ 1 im))) into (exp (- (/ 1 im))) 1.331 * [taylor]: Taking taylor expansion of (exp (/ 1 im)) in im 1.331 * [taylor]: Taking taylor expansion of (/ 1 im) in im 1.331 * [taylor]: Taking taylor expansion of im in im 1.331 * [backup-simplify]: Simplify 0 into 0 1.331 * [backup-simplify]: Simplify 1 into 1 1.331 * [backup-simplify]: Simplify (/ 1 1) into 1 1.331 * [backup-simplify]: Simplify (exp (/ 1 im)) into (exp (/ 1 im)) 1.331 * [backup-simplify]: Simplify (* (exp (/ 1 im)) (exp (/ 1 im))) into (pow (exp (/ 1 im)) 2) 1.331 * [backup-simplify]: Simplify (* (exp (/ 1 im)) (pow (exp (/ 1 im)) 2)) into (pow (exp (/ 1 im)) 3) 1.331 * [backup-simplify]: Simplify (* (exp (- (/ 1 im))) (exp (- (/ 1 im)))) into (pow (exp (- (/ 1 im))) 2) 1.331 * [backup-simplify]: Simplify (* (exp (- (/ 1 im))) (pow (exp (- (/ 1 im))) 2)) into (pow (exp (- (/ 1 im))) 3) 1.332 * [backup-simplify]: Simplify (+ (pow (exp (/ 1 im)) 3) (pow (exp (- (/ 1 im))) 3)) into (+ (pow (exp (- (/ 1 im))) 3) (pow (exp (/ 1 im)) 3)) 1.332 * [backup-simplify]: Simplify (* (cos (/ 1 re)) 1) into (cos (/ 1 re)) 1.332 * [backup-simplify]: Simplify (* (sin (/ 1 re)) 0) into 0 1.332 * [backup-simplify]: Simplify (- 0) into 0 1.332 * [backup-simplify]: Simplify (+ (cos (/ 1 re)) 0) into (cos (/ 1 re)) 1.332 * [backup-simplify]: Simplify (* (+ (pow (exp (- (/ 1 im))) 3) (pow (exp (/ 1 im)) 3)) (cos (/ 1 re))) into (* (+ (pow (exp (/ 1 im)) 3) (pow (exp (- (/ 1 im))) 3)) (cos (/ 1 re))) 1.332 * [backup-simplify]: Simplify (* (exp (- (/ 1 im))) (exp (- (/ 1 im)))) into (pow (exp (- (/ 1 im))) 2) 1.332 * [backup-simplify]: Simplify (* (exp (/ 1 im)) (exp (/ 1 im))) into (pow (exp (/ 1 im)) 2) 1.333 * [backup-simplify]: Simplify (+ (pow (exp (- (/ 1 im))) 2) (pow (exp (/ 1 im)) 2)) into (+ (pow (exp (- (/ 1 im))) 2) (pow (exp (/ 1 im)) 2)) 1.333 * [backup-simplify]: Simplify (* (exp (- (/ 1 im))) (exp (/ 1 im))) into (* (exp (- (/ 1 im))) (exp (/ 1 im))) 1.333 * [backup-simplify]: Simplify (- (* (exp (- (/ 1 im))) (exp (/ 1 im)))) into (- (* (exp (- (/ 1 im))) (exp (/ 1 im)))) 1.333 * [backup-simplify]: Simplify (+ (+ (pow (exp (- (/ 1 im))) 2) (pow (exp (/ 1 im)) 2)) (- (* (exp (- (/ 1 im))) (exp (/ 1 im))))) into (- (+ (pow (exp (- (/ 1 im))) 2) (pow (exp (/ 1 im)) 2)) (* (exp (- (/ 1 im))) (exp (/ 1 im)))) 1.334 * [backup-simplify]: Simplify (/ (* (+ (pow (exp (/ 1 im)) 3) (pow (exp (- (/ 1 im))) 3)) (cos (/ 1 re))) (- (+ (pow (exp (- (/ 1 im))) 2) (pow (exp (/ 1 im)) 2)) (* (exp (- (/ 1 im))) (exp (/ 1 im))))) into (/ (* (cos (/ 1 re)) (+ (pow (exp (- (/ 1 im))) 3) (pow (exp (/ 1 im)) 3))) (- (+ (pow (exp (- (/ 1 im))) 2) (pow (exp (/ 1 im)) 2)) (* (exp (- (/ 1 im))) (exp (/ 1 im))))) 1.334 * [backup-simplify]: Simplify (* 0.5 (/ (* (cos (/ 1 re)) (+ (pow (exp (- (/ 1 im))) 3) (pow (exp (/ 1 im)) 3))) (- (+ (pow (exp (- (/ 1 im))) 2) (pow (exp (/ 1 im)) 2)) (* (exp (- (/ 1 im))) (exp (/ 1 im)))))) into (* 0.5 (/ (* (+ (pow (exp (/ 1 im)) 3) (pow (exp (- (/ 1 im))) 3)) (cos (/ 1 re))) (- (+ (pow (exp (- (/ 1 im))) 2) (pow (exp (/ 1 im)) 2)) (* (exp (- (/ 1 im))) (exp (/ 1 im)))))) 1.335 * [backup-simplify]: Simplify (* 0.5 (/ (* (+ (pow (exp (/ 1 im)) 3) (pow (exp (- (/ 1 im))) 3)) (cos (/ 1 re))) (- (+ (pow (exp (- (/ 1 im))) 2) (pow (exp (/ 1 im)) 2)) (* (exp (- (/ 1 im))) (exp (/ 1 im)))))) into (* 0.5 (/ (* (cos (/ 1 re)) (+ (pow (exp (- (/ 1 im))) 3) (pow (exp (/ 1 im)) 3))) (- (+ (pow (exp (- (/ 1 im))) 2) (pow (exp (/ 1 im)) 2)) (* (exp (- (/ 1 im))) (exp (/ 1 im)))))) 1.335 * [backup-simplify]: Simplify (- (+ (* (/ 1 im) (/ 0 im)))) into 0 1.336 * [backup-simplify]: Simplify (* (exp (/ 1 im)) (+ (* (/ (pow 0 1) 1)))) into 0 1.336 * [backup-simplify]: Simplify (+ (* (exp (/ 1 im)) 0) (* 0 (exp (/ 1 im)))) into 0 1.336 * [backup-simplify]: Simplify (+ (* (exp (/ 1 im)) 0) (* 0 (pow (exp (/ 1 im)) 2))) into 0 1.336 * [backup-simplify]: Simplify (- (/ 1 im)) into (- (/ 1 im)) 1.336 * [backup-simplify]: Simplify (- (+ (* (/ 1 im) (/ 0 im)))) into 0 1.336 * [backup-simplify]: Simplify (- 0) into 0 1.337 * [backup-simplify]: Simplify (* (exp (- (/ 1 im))) (+ (* (/ (pow 0 1) 1)))) into 0 1.337 * [backup-simplify]: Simplify (+ (* (exp (- (/ 1 im))) 0) (* 0 (exp (- (/ 1 im))))) into 0 1.337 * [backup-simplify]: Simplify (+ (* (exp (- (/ 1 im))) 0) (* 0 (pow (exp (- (/ 1 im))) 2))) into 0 1.337 * [backup-simplify]: Simplify (+ 0 0) into 0 1.338 * [backup-simplify]: Simplify (+ (* (+ (pow (exp (- (/ 1 im))) 3) (pow (exp (/ 1 im)) 3)) 0) (* 0 (cos (/ 1 re)))) into 0 1.338 * [backup-simplify]: Simplify (- (/ 1 im)) into (- (/ 1 im)) 1.338 * [backup-simplify]: Simplify (- (+ (* (/ 1 im) (/ 0 im)))) into 0 1.338 * [backup-simplify]: Simplify (- 0) into 0 1.338 * [backup-simplify]: Simplify (* (exp (- (/ 1 im))) (+ (* (/ (pow 0 1) 1)))) into 0 1.339 * [backup-simplify]: Simplify (+ (* (exp (- (/ 1 im))) 0) (* 0 (exp (- (/ 1 im))))) into 0 1.339 * [backup-simplify]: Simplify (- (+ (* (/ 1 im) (/ 0 im)))) into 0 1.339 * [backup-simplify]: Simplify (* (exp (/ 1 im)) (+ (* (/ (pow 0 1) 1)))) into 0 1.339 * [backup-simplify]: Simplify (+ (* (exp (/ 1 im)) 0) (* 0 (exp (/ 1 im)))) into 0 1.340 * [backup-simplify]: Simplify (+ 0 0) into 0 1.340 * [backup-simplify]: Simplify (- (+ (* (/ 1 im) (/ 0 im)))) into 0 1.340 * [backup-simplify]: Simplify (* (exp (/ 1 im)) (+ (* (/ (pow 0 1) 1)))) into 0 1.340 * [backup-simplify]: Simplify (- (/ 1 im)) into (- (/ 1 im)) 1.340 * [backup-simplify]: Simplify (- (+ (* (/ 1 im) (/ 0 im)))) into 0 1.341 * [backup-simplify]: Simplify (- 0) into 0 1.341 * [backup-simplify]: Simplify (* (exp (- (/ 1 im))) (+ (* (/ (pow 0 1) 1)))) into 0 1.341 * [backup-simplify]: Simplify (+ (* (exp (- (/ 1 im))) 0) (* 0 (exp (/ 1 im)))) into 0 1.341 * [backup-simplify]: Simplify (- 0) into 0 1.342 * [backup-simplify]: Simplify (+ 0 0) into 0 1.343 * [backup-simplify]: Simplify (- (/ 0 (- (+ (pow (exp (- (/ 1 im))) 2) (pow (exp (/ 1 im)) 2)) (* (exp (- (/ 1 im))) (exp (/ 1 im))))) (+ (* (/ (* (cos (/ 1 re)) (+ (pow (exp (- (/ 1 im))) 3) (pow (exp (/ 1 im)) 3))) (- (+ (pow (exp (- (/ 1 im))) 2) (pow (exp (/ 1 im)) 2)) (* (exp (- (/ 1 im))) (exp (/ 1 im))))) (/ 0 (- (+ (pow (exp (- (/ 1 im))) 2) (pow (exp (/ 1 im)) 2)) (* (exp (- (/ 1 im))) (exp (/ 1 im)))))))) into 0 1.344 * [backup-simplify]: Simplify (+ (* 0.5 0) (* 0 (/ (* (cos (/ 1 re)) (+ (pow (exp (- (/ 1 im))) 3) (pow (exp (/ 1 im)) 3))) (- (+ (pow (exp (- (/ 1 im))) 2) (pow (exp (/ 1 im)) 2)) (* (exp (- (/ 1 im))) (exp (/ 1 im))))))) into 0 1.344 * [taylor]: Taking taylor expansion of 0 in im 1.344 * [backup-simplify]: Simplify 0 into 0 1.344 * [backup-simplify]: Simplify 0 into 0 1.344 * [backup-simplify]: Simplify (+ 0) into 0 1.344 * [backup-simplify]: Simplify (+ (* (cos (/ 1 re)) 0) (* 0 1)) into 0 1.344 * [backup-simplify]: Simplify (- (+ (* (/ 1 re) (/ 0 re)))) into 0 1.345 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 1.345 * [backup-simplify]: Simplify (+ (* (sin (/ 1 re)) 0) (* 0 0)) into 0 1.345 * [backup-simplify]: Simplify (- 0) into 0 1.346 * [backup-simplify]: Simplify (+ 0 0) into 0 1.346 * [backup-simplify]: Simplify (+ (* (exp (/ 1 im)) 0) (* 0 (exp (/ 1 im)))) into 0 1.346 * [backup-simplify]: Simplify (+ (* (exp (/ 1 im)) 0) (* 0 (pow (exp (/ 1 im)) 2))) into 0 1.346 * [backup-simplify]: Simplify (+ (* (exp (- (/ 1 im))) 0) (* 0 (exp (- (/ 1 im))))) into 0 1.346 * [backup-simplify]: Simplify (+ (* (exp (- (/ 1 im))) 0) (* 0 (pow (exp (- (/ 1 im))) 2))) into 0 1.346 * [backup-simplify]: Simplify (+ 0 0) into 0 1.347 * [backup-simplify]: Simplify (+ (* (+ (pow (exp (- (/ 1 im))) 3) (pow (exp (/ 1 im)) 3)) 0) (* 0 (cos (/ 1 re)))) into 0 1.347 * [backup-simplify]: Simplify (+ (* (exp (- (/ 1 im))) 0) (* 0 (exp (- (/ 1 im))))) into 0 1.347 * [backup-simplify]: Simplify (+ (* (exp (/ 1 im)) 0) (* 0 (exp (/ 1 im)))) into 0 1.347 * [backup-simplify]: Simplify (+ 0 0) into 0 1.347 * [backup-simplify]: Simplify (+ (* (exp (- (/ 1 im))) 0) (* 0 (exp (/ 1 im)))) into 0 1.347 * [backup-simplify]: Simplify (- 0) into 0 1.348 * [backup-simplify]: Simplify (+ 0 0) into 0 1.349 * [backup-simplify]: Simplify (- (/ 0 (- (+ (pow (exp (- (/ 1 im))) 2) (pow (exp (/ 1 im)) 2)) (* (exp (- (/ 1 im))) (exp (/ 1 im))))) (+ (* (/ (* (cos (/ 1 re)) (+ (pow (exp (- (/ 1 im))) 3) (pow (exp (/ 1 im)) 3))) (- (+ (pow (exp (- (/ 1 im))) 2) (pow (exp (/ 1 im)) 2)) (* (exp (- (/ 1 im))) (exp (/ 1 im))))) (/ 0 (- (+ (pow (exp (- (/ 1 im))) 2) (pow (exp (/ 1 im)) 2)) (* (exp (- (/ 1 im))) (exp (/ 1 im)))))))) into 0 1.350 * [backup-simplify]: Simplify (+ (* 0.5 0) (* 0 (/ (* (cos (/ 1 re)) (+ (pow (exp (- (/ 1 im))) 3) (pow (exp (/ 1 im)) 3))) (- (+ (pow (exp (- (/ 1 im))) 2) (pow (exp (/ 1 im)) 2)) (* (exp (- (/ 1 im))) (exp (/ 1 im))))))) into 0 1.350 * [backup-simplify]: Simplify 0 into 0 1.350 * [backup-simplify]: Simplify (- (+ (* (/ 1 im) (/ 0 im)) (* 0 (/ 0 im)))) into 0 1.350 * [backup-simplify]: Simplify (* (exp (/ 1 im)) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 1.351 * [backup-simplify]: Simplify (+ (* (exp (/ 1 im)) 0) (+ (* 0 0) (* 0 (exp (/ 1 im))))) into 0 1.351 * [backup-simplify]: Simplify (+ (* (exp (/ 1 im)) 0) (+ (* 0 0) (* 0 (pow (exp (/ 1 im)) 2)))) into 0 1.351 * [backup-simplify]: Simplify (- (/ 1 im)) into (- (/ 1 im)) 1.351 * [backup-simplify]: Simplify (- 0) into 0 1.352 * [backup-simplify]: Simplify (- (+ (* (/ 1 im) (/ 0 im)) (* 0 (/ 0 im)))) into 0 1.352 * [backup-simplify]: Simplify (- 0) into 0 1.352 * [backup-simplify]: Simplify (* (exp (- (/ 1 im))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 1.353 * [backup-simplify]: Simplify (+ (* (exp (- (/ 1 im))) 0) (+ (* 0 0) (* 0 (exp (- (/ 1 im)))))) into 0 1.353 * [backup-simplify]: Simplify (+ (* (exp (- (/ 1 im))) 0) (+ (* 0 0) (* 0 (pow (exp (- (/ 1 im))) 2)))) into 0 1.353 * [backup-simplify]: Simplify (+ 0 0) into 0 1.354 * [backup-simplify]: Simplify (+ (* (+ (pow (exp (- (/ 1 im))) 3) (pow (exp (/ 1 im)) 3)) 0) (+ (* 0 0) (* 0 (cos (/ 1 re))))) into 0 1.354 * [backup-simplify]: Simplify (- (/ 1 im)) into (- (/ 1 im)) 1.354 * [backup-simplify]: Simplify (- 0) into 0 1.354 * [backup-simplify]: Simplify (- (+ (* (/ 1 im) (/ 0 im)) (* 0 (/ 0 im)))) into 0 1.355 * [backup-simplify]: Simplify (- 0) into 0 1.355 * [backup-simplify]: Simplify (* (exp (- (/ 1 im))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 1.356 * [backup-simplify]: Simplify (+ (* (exp (- (/ 1 im))) 0) (+ (* 0 0) (* 0 (exp (- (/ 1 im)))))) into 0 1.356 * [backup-simplify]: Simplify (- (+ (* (/ 1 im) (/ 0 im)) (* 0 (/ 0 im)))) into 0 1.356 * [backup-simplify]: Simplify (* (exp (/ 1 im)) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 1.357 * [backup-simplify]: Simplify (+ (* (exp (/ 1 im)) 0) (+ (* 0 0) (* 0 (exp (/ 1 im))))) into 0 1.357 * [backup-simplify]: Simplify (+ 0 0) into 0 1.357 * [backup-simplify]: Simplify (- (+ (* (/ 1 im) (/ 0 im)) (* 0 (/ 0 im)))) into 0 1.358 * [backup-simplify]: Simplify (* (exp (/ 1 im)) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 1.358 * [backup-simplify]: Simplify (- (/ 1 im)) into (- (/ 1 im)) 1.358 * [backup-simplify]: Simplify (- 0) into 0 1.358 * [backup-simplify]: Simplify (- (+ (* (/ 1 im) (/ 0 im)) (* 0 (/ 0 im)))) into 0 1.358 * [backup-simplify]: Simplify (- 0) into 0 1.359 * [backup-simplify]: Simplify (* (exp (- (/ 1 im))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 1.359 * [backup-simplify]: Simplify (+ (* (exp (- (/ 1 im))) 0) (+ (* 0 0) (* 0 (exp (/ 1 im))))) into 0 1.360 * [backup-simplify]: Simplify (- 0) into 0 1.360 * [backup-simplify]: Simplify (+ 0 0) into 0 1.361 * [backup-simplify]: Simplify (- (/ 0 (- (+ (pow (exp (- (/ 1 im))) 2) (pow (exp (/ 1 im)) 2)) (* (exp (- (/ 1 im))) (exp (/ 1 im))))) (+ (* (/ (* (cos (/ 1 re)) (+ (pow (exp (- (/ 1 im))) 3) (pow (exp (/ 1 im)) 3))) (- (+ (pow (exp (- (/ 1 im))) 2) (pow (exp (/ 1 im)) 2)) (* (exp (- (/ 1 im))) (exp (/ 1 im))))) (/ 0 (- (+ (pow (exp (- (/ 1 im))) 2) (pow (exp (/ 1 im)) 2)) (* (exp (- (/ 1 im))) (exp (/ 1 im)))))) (* 0 (/ 0 (- (+ (pow (exp (- (/ 1 im))) 2) (pow (exp (/ 1 im)) 2)) (* (exp (- (/ 1 im))) (exp (/ 1 im)))))))) into 0 1.362 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* 0 0) (* 0 (/ (* (cos (/ 1 re)) (+ (pow (exp (- (/ 1 im))) 3) (pow (exp (/ 1 im)) 3))) (- (+ (pow (exp (- (/ 1 im))) 2) (pow (exp (/ 1 im)) 2)) (* (exp (- (/ 1 im))) (exp (/ 1 im)))))))) into 0 1.363 * [taylor]: Taking taylor expansion of 0 in im 1.363 * [backup-simplify]: Simplify 0 into 0 1.363 * [backup-simplify]: Simplify 0 into 0 1.363 * [backup-simplify]: Simplify 0 into 0 1.366 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0 1.366 * [backup-simplify]: Simplify (+ (* (cos (/ 1 re)) 0) (+ (* 0 0) (* 0 1))) into 0 1.366 * [backup-simplify]: Simplify (- (+ (* (/ 1 re) (/ 0 re)) (* 0 (/ 0 re)))) into 0 1.367 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 1.367 * [backup-simplify]: Simplify (+ (* (sin (/ 1 re)) 0) (+ (* 0 0) (* 0 0))) into 0 1.367 * [backup-simplify]: Simplify (- 0) into 0 1.367 * [backup-simplify]: Simplify (+ 0 0) into 0 1.368 * [backup-simplify]: Simplify (+ (* (exp (/ 1 im)) 0) (+ (* 0 0) (* 0 (exp (/ 1 im))))) into 0 1.368 * [backup-simplify]: Simplify (+ (* (exp (/ 1 im)) 0) (+ (* 0 0) (* 0 (pow (exp (/ 1 im)) 2)))) into 0 1.368 * [backup-simplify]: Simplify (+ (* (exp (- (/ 1 im))) 0) (+ (* 0 0) (* 0 (exp (- (/ 1 im)))))) into 0 1.369 * [backup-simplify]: Simplify (+ (* (exp (- (/ 1 im))) 0) (+ (* 0 0) (* 0 (pow (exp (- (/ 1 im))) 2)))) into 0 1.369 * [backup-simplify]: Simplify (+ 0 0) into 0 1.369 * [backup-simplify]: Simplify (+ (* (+ (pow (exp (- (/ 1 im))) 3) (pow (exp (/ 1 im)) 3)) 0) (+ (* 0 0) (* 0 (cos (/ 1 re))))) into 0 1.370 * [backup-simplify]: Simplify (+ (* (exp (- (/ 1 im))) 0) (+ (* 0 0) (* 0 (exp (- (/ 1 im)))))) into 0 1.370 * [backup-simplify]: Simplify (+ (* (exp (/ 1 im)) 0) (+ (* 0 0) (* 0 (exp (/ 1 im))))) into 0 1.370 * [backup-simplify]: Simplify (+ 0 0) into 0 1.371 * [backup-simplify]: Simplify (+ (* (exp (- (/ 1 im))) 0) (+ (* 0 0) (* 0 (exp (/ 1 im))))) into 0 1.371 * [backup-simplify]: Simplify (- 0) into 0 1.371 * [backup-simplify]: Simplify (+ 0 0) into 0 1.373 * [backup-simplify]: Simplify (- (/ 0 (- (+ (pow (exp (- (/ 1 im))) 2) (pow (exp (/ 1 im)) 2)) (* (exp (- (/ 1 im))) (exp (/ 1 im))))) (+ (* (/ (* (cos (/ 1 re)) (+ (pow (exp (- (/ 1 im))) 3) (pow (exp (/ 1 im)) 3))) (- (+ (pow (exp (- (/ 1 im))) 2) (pow (exp (/ 1 im)) 2)) (* (exp (- (/ 1 im))) (exp (/ 1 im))))) (/ 0 (- (+ (pow (exp (- (/ 1 im))) 2) (pow (exp (/ 1 im)) 2)) (* (exp (- (/ 1 im))) (exp (/ 1 im)))))) (* 0 (/ 0 (- (+ (pow (exp (- (/ 1 im))) 2) (pow (exp (/ 1 im)) 2)) (* (exp (- (/ 1 im))) (exp (/ 1 im)))))))) into 0 1.374 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* 0 0) (* 0 (/ (* (cos (/ 1 re)) (+ (pow (exp (- (/ 1 im))) 3) (pow (exp (/ 1 im)) 3))) (- (+ (pow (exp (- (/ 1 im))) 2) (pow (exp (/ 1 im)) 2)) (* (exp (- (/ 1 im))) (exp (/ 1 im)))))))) into 0 1.374 * [backup-simplify]: Simplify 0 into 0 1.374 * [backup-simplify]: Simplify (- (+ (* (/ 1 im) (/ 0 im)) (* 0 (/ 0 im)) (* 0 (/ 0 im)))) into 0 1.375 * [backup-simplify]: Simplify (* (exp (/ 1 im)) (+ (* (/ (pow 0 3) 6)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1)))) into 0 1.375 * [backup-simplify]: Simplify (+ (* (exp (/ 1 im)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (exp (/ 1 im)))))) into 0 1.376 * [backup-simplify]: Simplify (+ (* (exp (/ 1 im)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (pow (exp (/ 1 im)) 2))))) into 0 1.376 * [backup-simplify]: Simplify (- (/ 1 im)) into (- (/ 1 im)) 1.376 * [backup-simplify]: Simplify (- 0) into 0 1.376 * [backup-simplify]: Simplify (- 0) into 0 1.377 * [backup-simplify]: Simplify (- 0) into 0 1.377 * [backup-simplify]: Simplify (- (+ (* (/ 1 im) (/ 0 im)) (* 0 (/ 0 im)) (* 0 (/ 0 im)))) into 0 1.377 * [backup-simplify]: Simplify (- 0) into 0 1.378 * [backup-simplify]: Simplify (* (exp (- (/ 1 im))) (+ (* (/ (pow 0 3) 6)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1)))) into 0 1.378 * [backup-simplify]: Simplify (+ (* (exp (- (/ 1 im))) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (exp (- (/ 1 im))))))) into 0 1.379 * [backup-simplify]: Simplify (+ (* (exp (- (/ 1 im))) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (pow (exp (- (/ 1 im))) 2))))) into 0 1.379 * [backup-simplify]: Simplify (+ 0 0) into 0 1.380 * [backup-simplify]: Simplify (+ (* (+ (pow (exp (- (/ 1 im))) 3) (pow (exp (/ 1 im)) 3)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (cos (/ 1 re)))))) into 0 1.380 * [backup-simplify]: Simplify (- (/ 1 im)) into (- (/ 1 im)) 1.380 * [backup-simplify]: Simplify (- 0) into 0 1.380 * [backup-simplify]: Simplify (- 0) into 0 1.380 * [backup-simplify]: Simplify (- 0) into 0 1.381 * [backup-simplify]: Simplify (- (+ (* (/ 1 im) (/ 0 im)) (* 0 (/ 0 im)) (* 0 (/ 0 im)))) into 0 1.381 * [backup-simplify]: Simplify (- 0) into 0 1.382 * [backup-simplify]: Simplify (* (exp (- (/ 1 im))) (+ (* (/ (pow 0 3) 6)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1)))) into 0 1.382 * [backup-simplify]: Simplify (+ (* (exp (- (/ 1 im))) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (exp (- (/ 1 im))))))) into 0 1.382 * [backup-simplify]: Simplify (- (+ (* (/ 1 im) (/ 0 im)) (* 0 (/ 0 im)) (* 0 (/ 0 im)))) into 0 1.383 * [backup-simplify]: Simplify (* (exp (/ 1 im)) (+ (* (/ (pow 0 3) 6)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1)))) into 0 1.384 * [backup-simplify]: Simplify (+ (* (exp (/ 1 im)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (exp (/ 1 im)))))) into 0 1.384 * [backup-simplify]: Simplify (+ 0 0) into 0 1.384 * [backup-simplify]: Simplify (- (+ (* (/ 1 im) (/ 0 im)) (* 0 (/ 0 im)) (* 0 (/ 0 im)))) into 0 1.385 * [backup-simplify]: Simplify (* (exp (/ 1 im)) (+ (* (/ (pow 0 3) 6)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1)))) into 0 1.385 * [backup-simplify]: Simplify (- (/ 1 im)) into (- (/ 1 im)) 1.385 * [backup-simplify]: Simplify (- 0) into 0 1.386 * [backup-simplify]: Simplify (- 0) into 0 1.386 * [backup-simplify]: Simplify (- 0) into 0 1.386 * [backup-simplify]: Simplify (- (+ (* (/ 1 im) (/ 0 im)) (* 0 (/ 0 im)) (* 0 (/ 0 im)))) into 0 1.386 * [backup-simplify]: Simplify (- 0) into 0 1.387 * [backup-simplify]: Simplify (* (exp (- (/ 1 im))) (+ (* (/ (pow 0 3) 6)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1)))) into 0 1.388 * [backup-simplify]: Simplify (+ (* (exp (- (/ 1 im))) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (exp (/ 1 im)))))) into 0 1.388 * [backup-simplify]: Simplify (- 0) into 0 1.388 * [backup-simplify]: Simplify (+ 0 0) into 0 1.390 * [backup-simplify]: Simplify (- (/ 0 (- (+ (pow (exp (- (/ 1 im))) 2) (pow (exp (/ 1 im)) 2)) (* (exp (- (/ 1 im))) (exp (/ 1 im))))) (+ (* (/ (* (cos (/ 1 re)) (+ (pow (exp (- (/ 1 im))) 3) (pow (exp (/ 1 im)) 3))) (- (+ (pow (exp (- (/ 1 im))) 2) (pow (exp (/ 1 im)) 2)) (* (exp (- (/ 1 im))) (exp (/ 1 im))))) (/ 0 (- (+ (pow (exp (- (/ 1 im))) 2) (pow (exp (/ 1 im)) 2)) (* (exp (- (/ 1 im))) (exp (/ 1 im)))))) (* 0 (/ 0 (- (+ (pow (exp (- (/ 1 im))) 2) (pow (exp (/ 1 im)) 2)) (* (exp (- (/ 1 im))) (exp (/ 1 im)))))) (* 0 (/ 0 (- (+ (pow (exp (- (/ 1 im))) 2) (pow (exp (/ 1 im)) 2)) (* (exp (- (/ 1 im))) (exp (/ 1 im)))))))) into 0 1.391 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ (* (cos (/ 1 re)) (+ (pow (exp (- (/ 1 im))) 3) (pow (exp (/ 1 im)) 3))) (- (+ (pow (exp (- (/ 1 im))) 2) (pow (exp (/ 1 im)) 2)) (* (exp (- (/ 1 im))) (exp (/ 1 im))))))))) into 0 1.391 * [taylor]: Taking taylor expansion of 0 in im 1.391 * [backup-simplify]: Simplify 0 into 0 1.391 * [backup-simplify]: Simplify 0 into 0 1.392 * [backup-simplify]: Simplify (* 0.5 (/ (* (cos (/ 1 (/ 1 re))) (+ (pow (exp (- (/ 1 (/ 1 im)))) 3) (pow (exp (/ 1 (/ 1 im))) 3))) (- (+ (pow (exp (- (/ 1 (/ 1 im)))) 2) (pow (exp (/ 1 (/ 1 im))) 2)) (* (exp (- (/ 1 (/ 1 im)))) (exp (/ 1 (/ 1 im))))))) into (* 0.5 (/ (* (+ (pow (exp im) 3) (pow (exp (- im)) 3)) (cos re)) (- (+ (pow (exp (- im)) 2) (pow (exp im) 2)) (* (exp im) (exp (- im)))))) 1.393 * [backup-simplify]: Simplify (/ (* (* 0.5 (cos (/ 1 (- re)))) (+ (pow (exp (- (/ 1 (- im)))) 3) (pow (exp (/ 1 (- im))) 3))) (+ (* (exp (- (/ 1 (- im)))) (exp (- (/ 1 (- im))))) (- (* (exp (/ 1 (- im))) (exp (/ 1 (- im)))) (* (exp (- (/ 1 (- im)))) (exp (/ 1 (- im))))))) into (* 0.5 (/ (* (cos (/ -1 re)) (+ (pow (exp (/ -1 im)) 3) (pow (exp (/ 1 im)) 3))) (- (+ (pow (exp (/ -1 im)) 2) (pow (exp (/ 1 im)) 2)) (* (exp (/ -1 im)) (exp (/ 1 im)))))) 1.393 * [approximate]: Taking taylor expansion of (* 0.5 (/ (* (cos (/ -1 re)) (+ (pow (exp (/ -1 im)) 3) (pow (exp (/ 1 im)) 3))) (- (+ (pow (exp (/ -1 im)) 2) (pow (exp (/ 1 im)) 2)) (* (exp (/ -1 im)) (exp (/ 1 im)))))) in (re im) around 0 1.393 * [taylor]: Taking taylor expansion of (* 0.5 (/ (* (cos (/ -1 re)) (+ (pow (exp (/ -1 im)) 3) (pow (exp (/ 1 im)) 3))) (- (+ (pow (exp (/ -1 im)) 2) (pow (exp (/ 1 im)) 2)) (* (exp (/ -1 im)) (exp (/ 1 im)))))) in im 1.393 * [taylor]: Taking taylor expansion of 0.5 in im 1.393 * [backup-simplify]: Simplify 0.5 into 0.5 1.393 * [taylor]: Taking taylor expansion of (/ (* (cos (/ -1 re)) (+ (pow (exp (/ -1 im)) 3) (pow (exp (/ 1 im)) 3))) (- (+ (pow (exp (/ -1 im)) 2) (pow (exp (/ 1 im)) 2)) (* (exp (/ -1 im)) (exp (/ 1 im))))) in im 1.393 * [taylor]: Taking taylor expansion of (* (cos (/ -1 re)) (+ (pow (exp (/ -1 im)) 3) (pow (exp (/ 1 im)) 3))) in im 1.393 * [taylor]: Taking taylor expansion of (cos (/ -1 re)) in im 1.393 * [taylor]: Taking taylor expansion of (/ -1 re) in im 1.393 * [taylor]: Taking taylor expansion of -1 in im 1.393 * [backup-simplify]: Simplify -1 into -1 1.393 * [taylor]: Taking taylor expansion of re in im 1.393 * [backup-simplify]: Simplify re into re 1.393 * [backup-simplify]: Simplify (/ -1 re) into (/ -1 re) 1.393 * [backup-simplify]: Simplify (cos (/ -1 re)) into (cos (/ -1 re)) 1.393 * [backup-simplify]: Simplify (sin (/ -1 re)) into (sin (/ -1 re)) 1.393 * [taylor]: Taking taylor expansion of (+ (pow (exp (/ -1 im)) 3) (pow (exp (/ 1 im)) 3)) in im 1.393 * [taylor]: Taking taylor expansion of (pow (exp (/ -1 im)) 3) in im 1.393 * [taylor]: Taking taylor expansion of (exp (/ -1 im)) in im 1.393 * [taylor]: Taking taylor expansion of (/ -1 im) in im 1.393 * [taylor]: Taking taylor expansion of -1 in im 1.393 * [backup-simplify]: Simplify -1 into -1 1.393 * [taylor]: Taking taylor expansion of im in im 1.393 * [backup-simplify]: Simplify 0 into 0 1.393 * [backup-simplify]: Simplify 1 into 1 1.393 * [backup-simplify]: Simplify (/ -1 1) into -1 1.393 * [backup-simplify]: Simplify (exp (/ -1 im)) into (exp (/ -1 im)) 1.393 * [taylor]: Taking taylor expansion of (pow (exp (/ 1 im)) 3) in im 1.393 * [taylor]: Taking taylor expansion of (exp (/ 1 im)) in im 1.393 * [taylor]: Taking taylor expansion of (/ 1 im) in im 1.393 * [taylor]: Taking taylor expansion of im in im 1.393 * [backup-simplify]: Simplify 0 into 0 1.393 * [backup-simplify]: Simplify 1 into 1 1.394 * [backup-simplify]: Simplify (/ 1 1) into 1 1.394 * [backup-simplify]: Simplify (exp (/ 1 im)) into (exp (/ 1 im)) 1.394 * [taylor]: Taking taylor expansion of (- (+ (pow (exp (/ -1 im)) 2) (pow (exp (/ 1 im)) 2)) (* (exp (/ -1 im)) (exp (/ 1 im)))) in im 1.394 * [taylor]: Taking taylor expansion of (+ (pow (exp (/ -1 im)) 2) (pow (exp (/ 1 im)) 2)) in im 1.394 * [taylor]: Taking taylor expansion of (pow (exp (/ -1 im)) 2) in im 1.394 * [taylor]: Taking taylor expansion of (exp (/ -1 im)) in im 1.394 * [taylor]: Taking taylor expansion of (/ -1 im) in im 1.394 * [taylor]: Taking taylor expansion of -1 in im 1.394 * [backup-simplify]: Simplify -1 into -1 1.394 * [taylor]: Taking taylor expansion of im in im 1.394 * [backup-simplify]: Simplify 0 into 0 1.394 * [backup-simplify]: Simplify 1 into 1 1.394 * [backup-simplify]: Simplify (/ -1 1) into -1 1.394 * [backup-simplify]: Simplify (exp (/ -1 im)) into (exp (/ -1 im)) 1.394 * [taylor]: Taking taylor expansion of (pow (exp (/ 1 im)) 2) in im 1.394 * [taylor]: Taking taylor expansion of (exp (/ 1 im)) in im 1.394 * [taylor]: Taking taylor expansion of (/ 1 im) in im 1.394 * [taylor]: Taking taylor expansion of im in im 1.394 * [backup-simplify]: Simplify 0 into 0 1.394 * [backup-simplify]: Simplify 1 into 1 1.395 * [backup-simplify]: Simplify (/ 1 1) into 1 1.395 * [backup-simplify]: Simplify (exp (/ 1 im)) into (exp (/ 1 im)) 1.395 * [taylor]: Taking taylor expansion of (* (exp (/ -1 im)) (exp (/ 1 im))) in im 1.395 * [taylor]: Taking taylor expansion of (exp (/ -1 im)) in im 1.395 * [taylor]: Taking taylor expansion of (/ -1 im) in im 1.395 * [taylor]: Taking taylor expansion of -1 in im 1.395 * [backup-simplify]: Simplify -1 into -1 1.395 * [taylor]: Taking taylor expansion of im in im 1.395 * [backup-simplify]: Simplify 0 into 0 1.395 * [backup-simplify]: Simplify 1 into 1 1.395 * [backup-simplify]: Simplify (/ -1 1) into -1 1.395 * [backup-simplify]: Simplify (exp (/ -1 im)) into (exp (/ -1 im)) 1.395 * [taylor]: Taking taylor expansion of (exp (/ 1 im)) in im 1.395 * [taylor]: Taking taylor expansion of (/ 1 im) in im 1.395 * [taylor]: Taking taylor expansion of im in im 1.395 * [backup-simplify]: Simplify 0 into 0 1.395 * [backup-simplify]: Simplify 1 into 1 1.395 * [backup-simplify]: Simplify (/ 1 1) into 1 1.395 * [backup-simplify]: Simplify (exp (/ 1 im)) into (exp (/ 1 im)) 1.395 * [backup-simplify]: Simplify (* (cos (/ -1 re)) 1) into (cos (/ -1 re)) 1.395 * [backup-simplify]: Simplify (* (sin (/ -1 re)) 0) into 0 1.396 * [backup-simplify]: Simplify (- 0) into 0 1.396 * [backup-simplify]: Simplify (+ (cos (/ -1 re)) 0) into (cos (/ -1 re)) 1.396 * [backup-simplify]: Simplify (* (exp (/ -1 im)) (exp (/ -1 im))) into (pow (exp (/ -1 im)) 2) 1.396 * [backup-simplify]: Simplify (* (exp (/ -1 im)) (pow (exp (/ -1 im)) 2)) into (pow (exp (/ -1 im)) 3) 1.396 * [backup-simplify]: Simplify (* (exp (/ 1 im)) (exp (/ 1 im))) into (pow (exp (/ 1 im)) 2) 1.396 * [backup-simplify]: Simplify (* (exp (/ 1 im)) (pow (exp (/ 1 im)) 2)) into (pow (exp (/ 1 im)) 3) 1.396 * [backup-simplify]: Simplify (+ (pow (exp (/ -1 im)) 3) (pow (exp (/ 1 im)) 3)) into (+ (pow (exp (/ -1 im)) 3) (pow (exp (/ 1 im)) 3)) 1.397 * [backup-simplify]: Simplify (* (cos (/ -1 re)) (+ (pow (exp (/ -1 im)) 3) (pow (exp (/ 1 im)) 3))) into (* (cos (/ -1 re)) (+ (pow (exp (/ -1 im)) 3) (pow (exp (/ 1 im)) 3))) 1.397 * [backup-simplify]: Simplify (* (exp (/ -1 im)) (exp (/ -1 im))) into (pow (exp (/ -1 im)) 2) 1.397 * [backup-simplify]: Simplify (* (exp (/ 1 im)) (exp (/ 1 im))) into (pow (exp (/ 1 im)) 2) 1.397 * [backup-simplify]: Simplify (+ (pow (exp (/ -1 im)) 2) (pow (exp (/ 1 im)) 2)) into (+ (pow (exp (/ -1 im)) 2) (pow (exp (/ 1 im)) 2)) 1.397 * [backup-simplify]: Simplify (* (exp (/ -1 im)) (exp (/ 1 im))) into (* (exp (/ -1 im)) (exp (/ 1 im))) 1.397 * [backup-simplify]: Simplify (- (* (exp (/ -1 im)) (exp (/ 1 im)))) into (- (* (exp (/ -1 im)) (exp (/ 1 im)))) 1.398 * [backup-simplify]: Simplify (+ (+ (pow (exp (/ -1 im)) 2) (pow (exp (/ 1 im)) 2)) (- (* (exp (/ -1 im)) (exp (/ 1 im))))) into (- (+ (pow (exp (/ -1 im)) 2) (pow (exp (/ 1 im)) 2)) (* (exp (/ -1 im)) (exp (/ 1 im)))) 1.398 * [backup-simplify]: Simplify (/ (* (cos (/ -1 re)) (+ (pow (exp (/ -1 im)) 3) (pow (exp (/ 1 im)) 3))) (- (+ (pow (exp (/ -1 im)) 2) (pow (exp (/ 1 im)) 2)) (* (exp (/ -1 im)) (exp (/ 1 im))))) into (/ (* (cos (/ -1 re)) (+ (pow (exp (/ -1 im)) 3) (pow (exp (/ 1 im)) 3))) (- (+ (pow (exp (/ -1 im)) 2) (pow (exp (/ 1 im)) 2)) (* (exp (/ -1 im)) (exp (/ 1 im))))) 1.398 * [taylor]: Taking taylor expansion of (* 0.5 (/ (* (cos (/ -1 re)) (+ (pow (exp (/ -1 im)) 3) (pow (exp (/ 1 im)) 3))) (- (+ (pow (exp (/ -1 im)) 2) (pow (exp (/ 1 im)) 2)) (* (exp (/ -1 im)) (exp (/ 1 im)))))) in re 1.398 * [taylor]: Taking taylor expansion of 0.5 in re 1.398 * [backup-simplify]: Simplify 0.5 into 0.5 1.398 * [taylor]: Taking taylor expansion of (/ (* (cos (/ -1 re)) (+ (pow (exp (/ -1 im)) 3) (pow (exp (/ 1 im)) 3))) (- (+ (pow (exp (/ -1 im)) 2) (pow (exp (/ 1 im)) 2)) (* (exp (/ -1 im)) (exp (/ 1 im))))) in re 1.398 * [taylor]: Taking taylor expansion of (* (cos (/ -1 re)) (+ (pow (exp (/ -1 im)) 3) (pow (exp (/ 1 im)) 3))) in re 1.398 * [taylor]: Taking taylor expansion of (cos (/ -1 re)) in re 1.398 * [taylor]: Taking taylor expansion of (/ -1 re) in re 1.398 * [taylor]: Taking taylor expansion of -1 in re 1.398 * [backup-simplify]: Simplify -1 into -1 1.398 * [taylor]: Taking taylor expansion of re in re 1.398 * [backup-simplify]: Simplify 0 into 0 1.398 * [backup-simplify]: Simplify 1 into 1 1.398 * [backup-simplify]: Simplify (/ -1 1) into -1 1.399 * [backup-simplify]: Simplify (cos (/ -1 re)) into (cos (/ -1 re)) 1.399 * [taylor]: Taking taylor expansion of (+ (pow (exp (/ -1 im)) 3) (pow (exp (/ 1 im)) 3)) in re 1.399 * [taylor]: Taking taylor expansion of (pow (exp (/ -1 im)) 3) in re 1.399 * [taylor]: Taking taylor expansion of (exp (/ -1 im)) in re 1.399 * [taylor]: Taking taylor expansion of (/ -1 im) in re 1.399 * [taylor]: Taking taylor expansion of -1 in re 1.399 * [backup-simplify]: Simplify -1 into -1 1.399 * [taylor]: Taking taylor expansion of im in re 1.399 * [backup-simplify]: Simplify im into im 1.399 * [backup-simplify]: Simplify (/ -1 im) into (/ -1 im) 1.399 * [backup-simplify]: Simplify (exp (/ -1 im)) into (exp (/ -1 im)) 1.399 * [taylor]: Taking taylor expansion of (pow (exp (/ 1 im)) 3) in re 1.399 * [taylor]: Taking taylor expansion of (exp (/ 1 im)) in re 1.399 * [taylor]: Taking taylor expansion of (/ 1 im) in re 1.399 * [taylor]: Taking taylor expansion of im in re 1.399 * [backup-simplify]: Simplify im into im 1.399 * [backup-simplify]: Simplify (/ 1 im) into (/ 1 im) 1.399 * [backup-simplify]: Simplify (exp (/ 1 im)) into (exp (/ 1 im)) 1.399 * [taylor]: Taking taylor expansion of (- (+ (pow (exp (/ -1 im)) 2) (pow (exp (/ 1 im)) 2)) (* (exp (/ -1 im)) (exp (/ 1 im)))) in re 1.399 * [taylor]: Taking taylor expansion of (+ (pow (exp (/ -1 im)) 2) (pow (exp (/ 1 im)) 2)) in re 1.399 * [taylor]: Taking taylor expansion of (pow (exp (/ -1 im)) 2) in re 1.399 * [taylor]: Taking taylor expansion of (exp (/ -1 im)) in re 1.399 * [taylor]: Taking taylor expansion of (/ -1 im) in re 1.399 * [taylor]: Taking taylor expansion of -1 in re 1.399 * [backup-simplify]: Simplify -1 into -1 1.399 * [taylor]: Taking taylor expansion of im in re 1.399 * [backup-simplify]: Simplify im into im 1.399 * [backup-simplify]: Simplify (/ -1 im) into (/ -1 im) 1.399 * [backup-simplify]: Simplify (exp (/ -1 im)) into (exp (/ -1 im)) 1.399 * [taylor]: Taking taylor expansion of (pow (exp (/ 1 im)) 2) in re 1.399 * [taylor]: Taking taylor expansion of (exp (/ 1 im)) in re 1.399 * [taylor]: Taking taylor expansion of (/ 1 im) in re 1.399 * [taylor]: Taking taylor expansion of im in re 1.399 * [backup-simplify]: Simplify im into im 1.399 * [backup-simplify]: Simplify (/ 1 im) into (/ 1 im) 1.399 * [backup-simplify]: Simplify (exp (/ 1 im)) into (exp (/ 1 im)) 1.399 * [taylor]: Taking taylor expansion of (* (exp (/ -1 im)) (exp (/ 1 im))) in re 1.399 * [taylor]: Taking taylor expansion of (exp (/ -1 im)) in re 1.399 * [taylor]: Taking taylor expansion of (/ -1 im) in re 1.399 * [taylor]: Taking taylor expansion of -1 in re 1.399 * [backup-simplify]: Simplify -1 into -1 1.399 * [taylor]: Taking taylor expansion of im in re 1.399 * [backup-simplify]: Simplify im into im 1.399 * [backup-simplify]: Simplify (/ -1 im) into (/ -1 im) 1.399 * [backup-simplify]: Simplify (exp (/ -1 im)) into (exp (/ -1 im)) 1.400 * [taylor]: Taking taylor expansion of (exp (/ 1 im)) in re 1.400 * [taylor]: Taking taylor expansion of (/ 1 im) in re 1.400 * [taylor]: Taking taylor expansion of im in re 1.400 * [backup-simplify]: Simplify im into im 1.400 * [backup-simplify]: Simplify (/ 1 im) into (/ 1 im) 1.400 * [backup-simplify]: Simplify (exp (/ 1 im)) into (exp (/ 1 im)) 1.400 * [backup-simplify]: Simplify (* (exp (/ -1 im)) (exp (/ -1 im))) into (pow (exp (/ -1 im)) 2) 1.400 * [backup-simplify]: Simplify (* (exp (/ -1 im)) (pow (exp (/ -1 im)) 2)) into (pow (exp (/ -1 im)) 3) 1.400 * [backup-simplify]: Simplify (* (exp (/ 1 im)) (exp (/ 1 im))) into (pow (exp (/ 1 im)) 2) 1.400 * [backup-simplify]: Simplify (* (exp (/ 1 im)) (pow (exp (/ 1 im)) 2)) into (pow (exp (/ 1 im)) 3) 1.400 * [backup-simplify]: Simplify (+ (pow (exp (/ -1 im)) 3) (pow (exp (/ 1 im)) 3)) into (+ (pow (exp (/ -1 im)) 3) (pow (exp (/ 1 im)) 3)) 1.400 * [backup-simplify]: Simplify (* (cos (/ -1 re)) (+ (pow (exp (/ -1 im)) 3) (pow (exp (/ 1 im)) 3))) into (* (cos (/ -1 re)) (+ (pow (exp (/ -1 im)) 3) (pow (exp (/ 1 im)) 3))) 1.401 * [backup-simplify]: Simplify (* (exp (/ -1 im)) (exp (/ -1 im))) into (pow (exp (/ -1 im)) 2) 1.401 * [backup-simplify]: Simplify (* (exp (/ 1 im)) (exp (/ 1 im))) into (pow (exp (/ 1 im)) 2) 1.401 * [backup-simplify]: Simplify (+ (pow (exp (/ -1 im)) 2) (pow (exp (/ 1 im)) 2)) into (+ (pow (exp (/ -1 im)) 2) (pow (exp (/ 1 im)) 2)) 1.401 * [backup-simplify]: Simplify (* (exp (/ -1 im)) (exp (/ 1 im))) into (* (exp (/ -1 im)) (exp (/ 1 im))) 1.401 * [backup-simplify]: Simplify (- (* (exp (/ -1 im)) (exp (/ 1 im)))) into (- (* (exp (/ -1 im)) (exp (/ 1 im)))) 1.401 * [backup-simplify]: Simplify (+ (+ (pow (exp (/ -1 im)) 2) (pow (exp (/ 1 im)) 2)) (- (* (exp (/ -1 im)) (exp (/ 1 im))))) into (- (+ (pow (exp (/ -1 im)) 2) (pow (exp (/ 1 im)) 2)) (* (exp (/ -1 im)) (exp (/ 1 im)))) 1.402 * [backup-simplify]: Simplify (/ (* (cos (/ -1 re)) (+ (pow (exp (/ -1 im)) 3) (pow (exp (/ 1 im)) 3))) (- (+ (pow (exp (/ -1 im)) 2) (pow (exp (/ 1 im)) 2)) (* (exp (/ -1 im)) (exp (/ 1 im))))) into (/ (* (cos (/ -1 re)) (+ (pow (exp (/ -1 im)) 3) (pow (exp (/ 1 im)) 3))) (- (+ (pow (exp (/ -1 im)) 2) (pow (exp (/ 1 im)) 2)) (* (exp (/ -1 im)) (exp (/ 1 im))))) 1.402 * [taylor]: Taking taylor expansion of (* 0.5 (/ (* (cos (/ -1 re)) (+ (pow (exp (/ -1 im)) 3) (pow (exp (/ 1 im)) 3))) (- (+ (pow (exp (/ -1 im)) 2) (pow (exp (/ 1 im)) 2)) (* (exp (/ -1 im)) (exp (/ 1 im)))))) in re 1.402 * [taylor]: Taking taylor expansion of 0.5 in re 1.402 * [backup-simplify]: Simplify 0.5 into 0.5 1.402 * [taylor]: Taking taylor expansion of (/ (* (cos (/ -1 re)) (+ (pow (exp (/ -1 im)) 3) (pow (exp (/ 1 im)) 3))) (- (+ (pow (exp (/ -1 im)) 2) (pow (exp (/ 1 im)) 2)) (* (exp (/ -1 im)) (exp (/ 1 im))))) in re 1.402 * [taylor]: Taking taylor expansion of (* (cos (/ -1 re)) (+ (pow (exp (/ -1 im)) 3) (pow (exp (/ 1 im)) 3))) in re 1.402 * [taylor]: Taking taylor expansion of (cos (/ -1 re)) in re 1.402 * [taylor]: Taking taylor expansion of (/ -1 re) in re 1.402 * [taylor]: Taking taylor expansion of -1 in re 1.402 * [backup-simplify]: Simplify -1 into -1 1.402 * [taylor]: Taking taylor expansion of re in re 1.402 * [backup-simplify]: Simplify 0 into 0 1.402 * [backup-simplify]: Simplify 1 into 1 1.402 * [backup-simplify]: Simplify (/ -1 1) into -1 1.402 * [backup-simplify]: Simplify (cos (/ -1 re)) into (cos (/ -1 re)) 1.402 * [taylor]: Taking taylor expansion of (+ (pow (exp (/ -1 im)) 3) (pow (exp (/ 1 im)) 3)) in re 1.402 * [taylor]: Taking taylor expansion of (pow (exp (/ -1 im)) 3) in re 1.402 * [taylor]: Taking taylor expansion of (exp (/ -1 im)) in re 1.402 * [taylor]: Taking taylor expansion of (/ -1 im) in re 1.402 * [taylor]: Taking taylor expansion of -1 in re 1.402 * [backup-simplify]: Simplify -1 into -1 1.402 * [taylor]: Taking taylor expansion of im in re 1.402 * [backup-simplify]: Simplify im into im 1.402 * [backup-simplify]: Simplify (/ -1 im) into (/ -1 im) 1.403 * [backup-simplify]: Simplify (exp (/ -1 im)) into (exp (/ -1 im)) 1.403 * [taylor]: Taking taylor expansion of (pow (exp (/ 1 im)) 3) in re 1.403 * [taylor]: Taking taylor expansion of (exp (/ 1 im)) in re 1.403 * [taylor]: Taking taylor expansion of (/ 1 im) in re 1.403 * [taylor]: Taking taylor expansion of im in re 1.403 * [backup-simplify]: Simplify im into im 1.403 * [backup-simplify]: Simplify (/ 1 im) into (/ 1 im) 1.403 * [backup-simplify]: Simplify (exp (/ 1 im)) into (exp (/ 1 im)) 1.403 * [taylor]: Taking taylor expansion of (- (+ (pow (exp (/ -1 im)) 2) (pow (exp (/ 1 im)) 2)) (* (exp (/ -1 im)) (exp (/ 1 im)))) in re 1.403 * [taylor]: Taking taylor expansion of (+ (pow (exp (/ -1 im)) 2) (pow (exp (/ 1 im)) 2)) in re 1.403 * [taylor]: Taking taylor expansion of (pow (exp (/ -1 im)) 2) in re 1.403 * [taylor]: Taking taylor expansion of (exp (/ -1 im)) in re 1.403 * [taylor]: Taking taylor expansion of (/ -1 im) in re 1.403 * [taylor]: Taking taylor expansion of -1 in re 1.403 * [backup-simplify]: Simplify -1 into -1 1.403 * [taylor]: Taking taylor expansion of im in re 1.403 * [backup-simplify]: Simplify im into im 1.403 * [backup-simplify]: Simplify (/ -1 im) into (/ -1 im) 1.403 * [backup-simplify]: Simplify (exp (/ -1 im)) into (exp (/ -1 im)) 1.403 * [taylor]: Taking taylor expansion of (pow (exp (/ 1 im)) 2) in re 1.403 * [taylor]: Taking taylor expansion of (exp (/ 1 im)) in re 1.403 * [taylor]: Taking taylor expansion of (/ 1 im) in re 1.403 * [taylor]: Taking taylor expansion of im in re 1.403 * [backup-simplify]: Simplify im into im 1.403 * [backup-simplify]: Simplify (/ 1 im) into (/ 1 im) 1.403 * [backup-simplify]: Simplify (exp (/ 1 im)) into (exp (/ 1 im)) 1.403 * [taylor]: Taking taylor expansion of (* (exp (/ -1 im)) (exp (/ 1 im))) in re 1.403 * [taylor]: Taking taylor expansion of (exp (/ -1 im)) in re 1.403 * [taylor]: Taking taylor expansion of (/ -1 im) in re 1.403 * [taylor]: Taking taylor expansion of -1 in re 1.403 * [backup-simplify]: Simplify -1 into -1 1.403 * [taylor]: Taking taylor expansion of im in re 1.403 * [backup-simplify]: Simplify im into im 1.403 * [backup-simplify]: Simplify (/ -1 im) into (/ -1 im) 1.403 * [backup-simplify]: Simplify (exp (/ -1 im)) into (exp (/ -1 im)) 1.403 * [taylor]: Taking taylor expansion of (exp (/ 1 im)) in re 1.403 * [taylor]: Taking taylor expansion of (/ 1 im) in re 1.403 * [taylor]: Taking taylor expansion of im in re 1.403 * [backup-simplify]: Simplify im into im 1.403 * [backup-simplify]: Simplify (/ 1 im) into (/ 1 im) 1.403 * [backup-simplify]: Simplify (exp (/ 1 im)) into (exp (/ 1 im)) 1.403 * [backup-simplify]: Simplify (* (exp (/ -1 im)) (exp (/ -1 im))) into (pow (exp (/ -1 im)) 2) 1.404 * [backup-simplify]: Simplify (* (exp (/ -1 im)) (pow (exp (/ -1 im)) 2)) into (pow (exp (/ -1 im)) 3) 1.404 * [backup-simplify]: Simplify (* (exp (/ 1 im)) (exp (/ 1 im))) into (pow (exp (/ 1 im)) 2) 1.404 * [backup-simplify]: Simplify (* (exp (/ 1 im)) (pow (exp (/ 1 im)) 2)) into (pow (exp (/ 1 im)) 3) 1.404 * [backup-simplify]: Simplify (+ (pow (exp (/ -1 im)) 3) (pow (exp (/ 1 im)) 3)) into (+ (pow (exp (/ -1 im)) 3) (pow (exp (/ 1 im)) 3)) 1.404 * [backup-simplify]: Simplify (* (cos (/ -1 re)) (+ (pow (exp (/ -1 im)) 3) (pow (exp (/ 1 im)) 3))) into (* (cos (/ -1 re)) (+ (pow (exp (/ -1 im)) 3) (pow (exp (/ 1 im)) 3))) 1.404 * [backup-simplify]: Simplify (* (exp (/ -1 im)) (exp (/ -1 im))) into (pow (exp (/ -1 im)) 2) 1.404 * [backup-simplify]: Simplify (* (exp (/ 1 im)) (exp (/ 1 im))) into (pow (exp (/ 1 im)) 2) 1.405 * [backup-simplify]: Simplify (+ (pow (exp (/ -1 im)) 2) (pow (exp (/ 1 im)) 2)) into (+ (pow (exp (/ -1 im)) 2) (pow (exp (/ 1 im)) 2)) 1.405 * [backup-simplify]: Simplify (* (exp (/ -1 im)) (exp (/ 1 im))) into (* (exp (/ -1 im)) (exp (/ 1 im))) 1.405 * [backup-simplify]: Simplify (- (* (exp (/ -1 im)) (exp (/ 1 im)))) into (- (* (exp (/ -1 im)) (exp (/ 1 im)))) 1.405 * [backup-simplify]: Simplify (+ (+ (pow (exp (/ -1 im)) 2) (pow (exp (/ 1 im)) 2)) (- (* (exp (/ -1 im)) (exp (/ 1 im))))) into (- (+ (pow (exp (/ -1 im)) 2) (pow (exp (/ 1 im)) 2)) (* (exp (/ -1 im)) (exp (/ 1 im)))) 1.406 * [backup-simplify]: Simplify (/ (* (cos (/ -1 re)) (+ (pow (exp (/ -1 im)) 3) (pow (exp (/ 1 im)) 3))) (- (+ (pow (exp (/ -1 im)) 2) (pow (exp (/ 1 im)) 2)) (* (exp (/ -1 im)) (exp (/ 1 im))))) into (/ (* (cos (/ -1 re)) (+ (pow (exp (/ -1 im)) 3) (pow (exp (/ 1 im)) 3))) (- (+ (pow (exp (/ -1 im)) 2) (pow (exp (/ 1 im)) 2)) (* (exp (/ -1 im)) (exp (/ 1 im))))) 1.406 * [backup-simplify]: Simplify (* 0.5 (/ (* (cos (/ -1 re)) (+ (pow (exp (/ -1 im)) 3) (pow (exp (/ 1 im)) 3))) (- (+ (pow (exp (/ -1 im)) 2) (pow (exp (/ 1 im)) 2)) (* (exp (/ -1 im)) (exp (/ 1 im)))))) into (* 0.5 (/ (* (cos (/ -1 re)) (+ (pow (exp (/ -1 im)) 3) (pow (exp (/ 1 im)) 3))) (- (+ (pow (exp (/ -1 im)) 2) (pow (exp (/ 1 im)) 2)) (* (exp (/ -1 im)) (exp (/ 1 im)))))) 1.406 * [taylor]: Taking taylor expansion of (* 0.5 (/ (* (cos (/ -1 re)) (+ (pow (exp (/ -1 im)) 3) (pow (exp (/ 1 im)) 3))) (- (+ (pow (exp (/ -1 im)) 2) (pow (exp (/ 1 im)) 2)) (* (exp (/ -1 im)) (exp (/ 1 im)))))) in im 1.406 * [taylor]: Taking taylor expansion of 0.5 in im 1.406 * [backup-simplify]: Simplify 0.5 into 0.5 1.406 * [taylor]: Taking taylor expansion of (/ (* (cos (/ -1 re)) (+ (pow (exp (/ -1 im)) 3) (pow (exp (/ 1 im)) 3))) (- (+ (pow (exp (/ -1 im)) 2) (pow (exp (/ 1 im)) 2)) (* (exp (/ -1 im)) (exp (/ 1 im))))) in im 1.406 * [taylor]: Taking taylor expansion of (* (cos (/ -1 re)) (+ (pow (exp (/ -1 im)) 3) (pow (exp (/ 1 im)) 3))) in im 1.406 * [taylor]: Taking taylor expansion of (cos (/ -1 re)) in im 1.406 * [taylor]: Taking taylor expansion of (/ -1 re) in im 1.406 * [taylor]: Taking taylor expansion of -1 in im 1.406 * [backup-simplify]: Simplify -1 into -1 1.406 * [taylor]: Taking taylor expansion of re in im 1.406 * [backup-simplify]: Simplify re into re 1.406 * [backup-simplify]: Simplify (/ -1 re) into (/ -1 re) 1.406 * [backup-simplify]: Simplify (cos (/ -1 re)) into (cos (/ -1 re)) 1.406 * [backup-simplify]: Simplify (sin (/ -1 re)) into (sin (/ -1 re)) 1.406 * [taylor]: Taking taylor expansion of (+ (pow (exp (/ -1 im)) 3) (pow (exp (/ 1 im)) 3)) in im 1.407 * [taylor]: Taking taylor expansion of (pow (exp (/ -1 im)) 3) in im 1.407 * [taylor]: Taking taylor expansion of (exp (/ -1 im)) in im 1.407 * [taylor]: Taking taylor expansion of (/ -1 im) in im 1.407 * [taylor]: Taking taylor expansion of -1 in im 1.407 * [backup-simplify]: Simplify -1 into -1 1.407 * [taylor]: Taking taylor expansion of im in im 1.407 * [backup-simplify]: Simplify 0 into 0 1.407 * [backup-simplify]: Simplify 1 into 1 1.407 * [backup-simplify]: Simplify (/ -1 1) into -1 1.407 * [backup-simplify]: Simplify (exp (/ -1 im)) into (exp (/ -1 im)) 1.407 * [taylor]: Taking taylor expansion of (pow (exp (/ 1 im)) 3) in im 1.407 * [taylor]: Taking taylor expansion of (exp (/ 1 im)) in im 1.407 * [taylor]: Taking taylor expansion of (/ 1 im) in im 1.407 * [taylor]: Taking taylor expansion of im in im 1.407 * [backup-simplify]: Simplify 0 into 0 1.407 * [backup-simplify]: Simplify 1 into 1 1.407 * [backup-simplify]: Simplify (/ 1 1) into 1 1.407 * [backup-simplify]: Simplify (exp (/ 1 im)) into (exp (/ 1 im)) 1.407 * [taylor]: Taking taylor expansion of (- (+ (pow (exp (/ -1 im)) 2) (pow (exp (/ 1 im)) 2)) (* (exp (/ -1 im)) (exp (/ 1 im)))) in im 1.407 * [taylor]: Taking taylor expansion of (+ (pow (exp (/ -1 im)) 2) (pow (exp (/ 1 im)) 2)) in im 1.407 * [taylor]: Taking taylor expansion of (pow (exp (/ -1 im)) 2) in im 1.407 * [taylor]: Taking taylor expansion of (exp (/ -1 im)) in im 1.407 * [taylor]: Taking taylor expansion of (/ -1 im) in im 1.407 * [taylor]: Taking taylor expansion of -1 in im 1.408 * [backup-simplify]: Simplify -1 into -1 1.408 * [taylor]: Taking taylor expansion of im in im 1.408 * [backup-simplify]: Simplify 0 into 0 1.408 * [backup-simplify]: Simplify 1 into 1 1.408 * [backup-simplify]: Simplify (/ -1 1) into -1 1.408 * [backup-simplify]: Simplify (exp (/ -1 im)) into (exp (/ -1 im)) 1.408 * [taylor]: Taking taylor expansion of (pow (exp (/ 1 im)) 2) in im 1.408 * [taylor]: Taking taylor expansion of (exp (/ 1 im)) in im 1.408 * [taylor]: Taking taylor expansion of (/ 1 im) in im 1.408 * [taylor]: Taking taylor expansion of im in im 1.408 * [backup-simplify]: Simplify 0 into 0 1.408 * [backup-simplify]: Simplify 1 into 1 1.408 * [backup-simplify]: Simplify (/ 1 1) into 1 1.408 * [backup-simplify]: Simplify (exp (/ 1 im)) into (exp (/ 1 im)) 1.408 * [taylor]: Taking taylor expansion of (* (exp (/ -1 im)) (exp (/ 1 im))) in im 1.408 * [taylor]: Taking taylor expansion of (exp (/ -1 im)) in im 1.408 * [taylor]: Taking taylor expansion of (/ -1 im) in im 1.408 * [taylor]: Taking taylor expansion of -1 in im 1.408 * [backup-simplify]: Simplify -1 into -1 1.408 * [taylor]: Taking taylor expansion of im in im 1.408 * [backup-simplify]: Simplify 0 into 0 1.408 * [backup-simplify]: Simplify 1 into 1 1.409 * [backup-simplify]: Simplify (/ -1 1) into -1 1.409 * [backup-simplify]: Simplify (exp (/ -1 im)) into (exp (/ -1 im)) 1.409 * [taylor]: Taking taylor expansion of (exp (/ 1 im)) in im 1.409 * [taylor]: Taking taylor expansion of (/ 1 im) in im 1.409 * [taylor]: Taking taylor expansion of im in im 1.409 * [backup-simplify]: Simplify 0 into 0 1.409 * [backup-simplify]: Simplify 1 into 1 1.409 * [backup-simplify]: Simplify (/ 1 1) into 1 1.409 * [backup-simplify]: Simplify (exp (/ 1 im)) into (exp (/ 1 im)) 1.409 * [backup-simplify]: Simplify (* (cos (/ -1 re)) 1) into (cos (/ -1 re)) 1.409 * [backup-simplify]: Simplify (* (sin (/ -1 re)) 0) into 0 1.409 * [backup-simplify]: Simplify (- 0) into 0 1.409 * [backup-simplify]: Simplify (+ (cos (/ -1 re)) 0) into (cos (/ -1 re)) 1.409 * [backup-simplify]: Simplify (* (exp (/ -1 im)) (exp (/ -1 im))) into (pow (exp (/ -1 im)) 2) 1.410 * [backup-simplify]: Simplify (* (exp (/ -1 im)) (pow (exp (/ -1 im)) 2)) into (pow (exp (/ -1 im)) 3) 1.410 * [backup-simplify]: Simplify (* (exp (/ 1 im)) (exp (/ 1 im))) into (pow (exp (/ 1 im)) 2) 1.410 * [backup-simplify]: Simplify (* (exp (/ 1 im)) (pow (exp (/ 1 im)) 2)) into (pow (exp (/ 1 im)) 3) 1.410 * [backup-simplify]: Simplify (+ (pow (exp (/ -1 im)) 3) (pow (exp (/ 1 im)) 3)) into (+ (pow (exp (/ -1 im)) 3) (pow (exp (/ 1 im)) 3)) 1.410 * [backup-simplify]: Simplify (* (cos (/ -1 re)) (+ (pow (exp (/ -1 im)) 3) (pow (exp (/ 1 im)) 3))) into (* (cos (/ -1 re)) (+ (pow (exp (/ -1 im)) 3) (pow (exp (/ 1 im)) 3))) 1.410 * [backup-simplify]: Simplify (* (exp (/ -1 im)) (exp (/ -1 im))) into (pow (exp (/ -1 im)) 2) 1.410 * [backup-simplify]: Simplify (* (exp (/ 1 im)) (exp (/ 1 im))) into (pow (exp (/ 1 im)) 2) 1.411 * [backup-simplify]: Simplify (+ (pow (exp (/ -1 im)) 2) (pow (exp (/ 1 im)) 2)) into (+ (pow (exp (/ -1 im)) 2) (pow (exp (/ 1 im)) 2)) 1.411 * [backup-simplify]: Simplify (* (exp (/ -1 im)) (exp (/ 1 im))) into (* (exp (/ -1 im)) (exp (/ 1 im))) 1.411 * [backup-simplify]: Simplify (- (* (exp (/ -1 im)) (exp (/ 1 im)))) into (- (* (exp (/ -1 im)) (exp (/ 1 im)))) 1.411 * [backup-simplify]: Simplify (+ (+ (pow (exp (/ -1 im)) 2) (pow (exp (/ 1 im)) 2)) (- (* (exp (/ -1 im)) (exp (/ 1 im))))) into (- (+ (pow (exp (/ -1 im)) 2) (pow (exp (/ 1 im)) 2)) (* (exp (/ -1 im)) (exp (/ 1 im)))) 1.412 * [backup-simplify]: Simplify (/ (* (cos (/ -1 re)) (+ (pow (exp (/ -1 im)) 3) (pow (exp (/ 1 im)) 3))) (- (+ (pow (exp (/ -1 im)) 2) (pow (exp (/ 1 im)) 2)) (* (exp (/ -1 im)) (exp (/ 1 im))))) into (/ (* (cos (/ -1 re)) (+ (pow (exp (/ -1 im)) 3) (pow (exp (/ 1 im)) 3))) (- (+ (pow (exp (/ -1 im)) 2) (pow (exp (/ 1 im)) 2)) (* (exp (/ -1 im)) (exp (/ 1 im))))) 1.412 * [backup-simplify]: Simplify (* 0.5 (/ (* (cos (/ -1 re)) (+ (pow (exp (/ -1 im)) 3) (pow (exp (/ 1 im)) 3))) (- (+ (pow (exp (/ -1 im)) 2) (pow (exp (/ 1 im)) 2)) (* (exp (/ -1 im)) (exp (/ 1 im)))))) into (* 0.5 (/ (* (cos (/ -1 re)) (+ (pow (exp (/ -1 im)) 3) (pow (exp (/ 1 im)) 3))) (- (+ (pow (exp (/ -1 im)) 2) (pow (exp (/ 1 im)) 2)) (* (exp (/ -1 im)) (exp (/ 1 im)))))) 1.413 * [backup-simplify]: Simplify (* 0.5 (/ (* (cos (/ -1 re)) (+ (pow (exp (/ -1 im)) 3) (pow (exp (/ 1 im)) 3))) (- (+ (pow (exp (/ -1 im)) 2) (pow (exp (/ 1 im)) 2)) (* (exp (/ -1 im)) (exp (/ 1 im)))))) into (* 0.5 (/ (* (cos (/ -1 re)) (+ (pow (exp (/ -1 im)) 3) (pow (exp (/ 1 im)) 3))) (- (+ (pow (exp (/ -1 im)) 2) (pow (exp (/ 1 im)) 2)) (* (exp (/ -1 im)) (exp (/ 1 im)))))) 1.413 * [backup-simplify]: Simplify (- (/ 0 im) (+ (* (/ -1 im) (/ 0 im)))) into 0 1.413 * [backup-simplify]: Simplify (* (exp (/ -1 im)) (+ (* (/ (pow 0 1) 1)))) into 0 1.414 * [backup-simplify]: Simplify (+ (* (exp (/ -1 im)) 0) (* 0 (exp (/ -1 im)))) into 0 1.414 * [backup-simplify]: Simplify (+ (* (exp (/ -1 im)) 0) (* 0 (pow (exp (/ -1 im)) 2))) into 0 1.414 * [backup-simplify]: Simplify (- (+ (* (/ 1 im) (/ 0 im)))) into 0 1.414 * [backup-simplify]: Simplify (* (exp (/ 1 im)) (+ (* (/ (pow 0 1) 1)))) into 0 1.414 * [backup-simplify]: Simplify (+ (* (exp (/ 1 im)) 0) (* 0 (exp (/ 1 im)))) into 0 1.415 * [backup-simplify]: Simplify (+ (* (exp (/ 1 im)) 0) (* 0 (pow (exp (/ 1 im)) 2))) into 0 1.415 * [backup-simplify]: Simplify (+ 0 0) into 0 1.415 * [backup-simplify]: Simplify (+ (* (cos (/ -1 re)) 0) (* 0 (+ (pow (exp (/ -1 im)) 3) (pow (exp (/ 1 im)) 3)))) into 0 1.415 * [backup-simplify]: Simplify (- (/ 0 im) (+ (* (/ -1 im) (/ 0 im)))) into 0 1.416 * [backup-simplify]: Simplify (* (exp (/ -1 im)) (+ (* (/ (pow 0 1) 1)))) into 0 1.416 * [backup-simplify]: Simplify (+ (* (exp (/ -1 im)) 0) (* 0 (exp (/ -1 im)))) into 0 1.416 * [backup-simplify]: Simplify (- (+ (* (/ 1 im) (/ 0 im)))) into 0 1.416 * [backup-simplify]: Simplify (* (exp (/ 1 im)) (+ (* (/ (pow 0 1) 1)))) into 0 1.416 * [backup-simplify]: Simplify (+ (* (exp (/ 1 im)) 0) (* 0 (exp (/ 1 im)))) into 0 1.417 * [backup-simplify]: Simplify (+ 0 0) into 0 1.417 * [backup-simplify]: Simplify (- (+ (* (/ 1 im) (/ 0 im)))) into 0 1.417 * [backup-simplify]: Simplify (* (exp (/ 1 im)) (+ (* (/ (pow 0 1) 1)))) into 0 1.417 * [backup-simplify]: Simplify (- (/ 0 im) (+ (* (/ -1 im) (/ 0 im)))) into 0 1.418 * [backup-simplify]: Simplify (* (exp (/ -1 im)) (+ (* (/ (pow 0 1) 1)))) into 0 1.418 * [backup-simplify]: Simplify (+ (* (exp (/ -1 im)) 0) (* 0 (exp (/ 1 im)))) into 0 1.418 * [backup-simplify]: Simplify (- 0) into 0 1.418 * [backup-simplify]: Simplify (+ 0 0) into 0 1.419 * [backup-simplify]: Simplify (- (/ 0 (- (+ (pow (exp (/ -1 im)) 2) (pow (exp (/ 1 im)) 2)) (* (exp (/ -1 im)) (exp (/ 1 im))))) (+ (* (/ (* (cos (/ -1 re)) (+ (pow (exp (/ -1 im)) 3) (pow (exp (/ 1 im)) 3))) (- (+ (pow (exp (/ -1 im)) 2) (pow (exp (/ 1 im)) 2)) (* (exp (/ -1 im)) (exp (/ 1 im))))) (/ 0 (- (+ (pow (exp (/ -1 im)) 2) (pow (exp (/ 1 im)) 2)) (* (exp (/ -1 im)) (exp (/ 1 im)))))))) into 0 1.420 * [backup-simplify]: Simplify (+ (* 0.5 0) (* 0 (/ (* (cos (/ -1 re)) (+ (pow (exp (/ -1 im)) 3) (pow (exp (/ 1 im)) 3))) (- (+ (pow (exp (/ -1 im)) 2) (pow (exp (/ 1 im)) 2)) (* (exp (/ -1 im)) (exp (/ 1 im))))))) into 0 1.420 * [taylor]: Taking taylor expansion of 0 in im 1.420 * [backup-simplify]: Simplify 0 into 0 1.420 * [backup-simplify]: Simplify 0 into 0 1.420 * [backup-simplify]: Simplify (+ (* (exp (/ -1 im)) 0) (* 0 (exp (/ -1 im)))) into 0 1.420 * [backup-simplify]: Simplify (+ (* (exp (/ -1 im)) 0) (* 0 (pow (exp (/ -1 im)) 2))) into 0 1.421 * [backup-simplify]: Simplify (+ (* (exp (/ 1 im)) 0) (* 0 (exp (/ 1 im)))) into 0 1.421 * [backup-simplify]: Simplify (+ (* (exp (/ 1 im)) 0) (* 0 (pow (exp (/ 1 im)) 2))) into 0 1.421 * [backup-simplify]: Simplify (+ 0 0) into 0 1.421 * [backup-simplify]: Simplify (+ 0) into 0 1.421 * [backup-simplify]: Simplify (+ (* (cos (/ -1 re)) 0) (* 0 1)) into 0 1.422 * [backup-simplify]: Simplify (- (/ 0 re) (+ (* (/ -1 re) (/ 0 re)))) into 0 1.422 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 1.422 * [backup-simplify]: Simplify (+ (* (sin (/ -1 re)) 0) (* 0 0)) into 0 1.422 * [backup-simplify]: Simplify (- 0) into 0 1.423 * [backup-simplify]: Simplify (+ 0 0) into 0 1.423 * [backup-simplify]: Simplify (+ (* (cos (/ -1 re)) 0) (* 0 (+ (pow (exp (/ -1 im)) 3) (pow (exp (/ 1 im)) 3)))) into 0 1.423 * [backup-simplify]: Simplify (+ (* (exp (/ -1 im)) 0) (* 0 (exp (/ -1 im)))) into 0 1.423 * [backup-simplify]: Simplify (+ (* (exp (/ 1 im)) 0) (* 0 (exp (/ 1 im)))) into 0 1.423 * [backup-simplify]: Simplify (+ 0 0) into 0 1.423 * [backup-simplify]: Simplify (+ (* (exp (/ -1 im)) 0) (* 0 (exp (/ 1 im)))) into 0 1.424 * [backup-simplify]: Simplify (- 0) into 0 1.424 * [backup-simplify]: Simplify (+ 0 0) into 0 1.425 * [backup-simplify]: Simplify (- (/ 0 (- (+ (pow (exp (/ -1 im)) 2) (pow (exp (/ 1 im)) 2)) (* (exp (/ -1 im)) (exp (/ 1 im))))) (+ (* (/ (* (cos (/ -1 re)) (+ (pow (exp (/ -1 im)) 3) (pow (exp (/ 1 im)) 3))) (- (+ (pow (exp (/ -1 im)) 2) (pow (exp (/ 1 im)) 2)) (* (exp (/ -1 im)) (exp (/ 1 im))))) (/ 0 (- (+ (pow (exp (/ -1 im)) 2) (pow (exp (/ 1 im)) 2)) (* (exp (/ -1 im)) (exp (/ 1 im)))))))) into 0 1.426 * [backup-simplify]: Simplify (+ (* 0.5 0) (* 0 (/ (* (cos (/ -1 re)) (+ (pow (exp (/ -1 im)) 3) (pow (exp (/ 1 im)) 3))) (- (+ (pow (exp (/ -1 im)) 2) (pow (exp (/ 1 im)) 2)) (* (exp (/ -1 im)) (exp (/ 1 im))))))) into 0 1.426 * [backup-simplify]: Simplify 0 into 0 1.426 * [backup-simplify]: Simplify (- (/ 0 im) (+ (* (/ -1 im) (/ 0 im)) (* 0 (/ 0 im)))) into 0 1.427 * [backup-simplify]: Simplify (* (exp (/ -1 im)) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 1.427 * [backup-simplify]: Simplify (+ (* (exp (/ -1 im)) 0) (+ (* 0 0) (* 0 (exp (/ -1 im))))) into 0 1.427 * [backup-simplify]: Simplify (+ (* (exp (/ -1 im)) 0) (+ (* 0 0) (* 0 (pow (exp (/ -1 im)) 2)))) into 0 1.427 * [backup-simplify]: Simplify (- (+ (* (/ 1 im) (/ 0 im)) (* 0 (/ 0 im)))) into 0 1.428 * [backup-simplify]: Simplify (* (exp (/ 1 im)) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 1.428 * [backup-simplify]: Simplify (+ (* (exp (/ 1 im)) 0) (+ (* 0 0) (* 0 (exp (/ 1 im))))) into 0 1.429 * [backup-simplify]: Simplify (+ (* (exp (/ 1 im)) 0) (+ (* 0 0) (* 0 (pow (exp (/ 1 im)) 2)))) into 0 1.429 * [backup-simplify]: Simplify (+ 0 0) into 0 1.430 * [backup-simplify]: Simplify (+ (* (cos (/ -1 re)) 0) (+ (* 0 0) (* 0 (+ (pow (exp (/ -1 im)) 3) (pow (exp (/ 1 im)) 3))))) into 0 1.430 * [backup-simplify]: Simplify (- (/ 0 im) (+ (* (/ -1 im) (/ 0 im)) (* 0 (/ 0 im)))) into 0 1.430 * [backup-simplify]: Simplify (* (exp (/ -1 im)) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 1.431 * [backup-simplify]: Simplify (+ (* (exp (/ -1 im)) 0) (+ (* 0 0) (* 0 (exp (/ -1 im))))) into 0 1.431 * [backup-simplify]: Simplify (- (+ (* (/ 1 im) (/ 0 im)) (* 0 (/ 0 im)))) into 0 1.432 * [backup-simplify]: Simplify (* (exp (/ 1 im)) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 1.432 * [backup-simplify]: Simplify (+ (* (exp (/ 1 im)) 0) (+ (* 0 0) (* 0 (exp (/ 1 im))))) into 0 1.432 * [backup-simplify]: Simplify (+ 0 0) into 0 1.432 * [backup-simplify]: Simplify (- (+ (* (/ 1 im) (/ 0 im)) (* 0 (/ 0 im)))) into 0 1.433 * [backup-simplify]: Simplify (* (exp (/ 1 im)) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 1.433 * [backup-simplify]: Simplify (- (/ 0 im) (+ (* (/ -1 im) (/ 0 im)) (* 0 (/ 0 im)))) into 0 1.434 * [backup-simplify]: Simplify (* (exp (/ -1 im)) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 1.434 * [backup-simplify]: Simplify (+ (* (exp (/ -1 im)) 0) (+ (* 0 0) (* 0 (exp (/ 1 im))))) into 0 1.434 * [backup-simplify]: Simplify (- 0) into 0 1.435 * [backup-simplify]: Simplify (+ 0 0) into 0 1.436 * [backup-simplify]: Simplify (- (/ 0 (- (+ (pow (exp (/ -1 im)) 2) (pow (exp (/ 1 im)) 2)) (* (exp (/ -1 im)) (exp (/ 1 im))))) (+ (* (/ (* (cos (/ -1 re)) (+ (pow (exp (/ -1 im)) 3) (pow (exp (/ 1 im)) 3))) (- (+ (pow (exp (/ -1 im)) 2) (pow (exp (/ 1 im)) 2)) (* (exp (/ -1 im)) (exp (/ 1 im))))) (/ 0 (- (+ (pow (exp (/ -1 im)) 2) (pow (exp (/ 1 im)) 2)) (* (exp (/ -1 im)) (exp (/ 1 im)))))) (* 0 (/ 0 (- (+ (pow (exp (/ -1 im)) 2) (pow (exp (/ 1 im)) 2)) (* (exp (/ -1 im)) (exp (/ 1 im)))))))) into 0 1.437 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* 0 0) (* 0 (/ (* (cos (/ -1 re)) (+ (pow (exp (/ -1 im)) 3) (pow (exp (/ 1 im)) 3))) (- (+ (pow (exp (/ -1 im)) 2) (pow (exp (/ 1 im)) 2)) (* (exp (/ -1 im)) (exp (/ 1 im)))))))) into 0 1.437 * [taylor]: Taking taylor expansion of 0 in im 1.437 * [backup-simplify]: Simplify 0 into 0 1.437 * [backup-simplify]: Simplify 0 into 0 1.437 * [backup-simplify]: Simplify 0 into 0 1.438 * [backup-simplify]: Simplify (+ (* (exp (/ -1 im)) 0) (+ (* 0 0) (* 0 (exp (/ -1 im))))) into 0 1.438 * [backup-simplify]: Simplify (+ (* (exp (/ -1 im)) 0) (+ (* 0 0) (* 0 (pow (exp (/ -1 im)) 2)))) into 0 1.438 * [backup-simplify]: Simplify (+ (* (exp (/ 1 im)) 0) (+ (* 0 0) (* 0 (exp (/ 1 im))))) into 0 1.439 * [backup-simplify]: Simplify (+ (* (exp (/ 1 im)) 0) (+ (* 0 0) (* 0 (pow (exp (/ 1 im)) 2)))) into 0 1.439 * [backup-simplify]: Simplify (+ 0 0) into 0 1.439 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0 1.440 * [backup-simplify]: Simplify (+ (* (cos (/ -1 re)) 0) (+ (* 0 0) (* 0 1))) into 0 1.440 * [backup-simplify]: Simplify (- (/ 0 re) (+ (* (/ -1 re) (/ 0 re)) (* 0 (/ 0 re)))) into 0 1.440 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 1.441 * [backup-simplify]: Simplify (+ (* (sin (/ -1 re)) 0) (+ (* 0 0) (* 0 0))) into 0 1.441 * [backup-simplify]: Simplify (- 0) into 0 1.441 * [backup-simplify]: Simplify (+ 0 0) into 0 1.441 * [backup-simplify]: Simplify (+ (* (cos (/ -1 re)) 0) (+ (* 0 0) (* 0 (+ (pow (exp (/ -1 im)) 3) (pow (exp (/ 1 im)) 3))))) into 0 1.442 * [backup-simplify]: Simplify (+ (* (exp (/ -1 im)) 0) (+ (* 0 0) (* 0 (exp (/ -1 im))))) into 0 1.442 * [backup-simplify]: Simplify (+ (* (exp (/ 1 im)) 0) (+ (* 0 0) (* 0 (exp (/ 1 im))))) into 0 1.442 * [backup-simplify]: Simplify (+ 0 0) into 0 1.443 * [backup-simplify]: Simplify (+ (* (exp (/ -1 im)) 0) (+ (* 0 0) (* 0 (exp (/ 1 im))))) into 0 1.443 * [backup-simplify]: Simplify (- 0) into 0 1.443 * [backup-simplify]: Simplify (+ 0 0) into 0 1.444 * [backup-simplify]: Simplify (- (/ 0 (- (+ (pow (exp (/ -1 im)) 2) (pow (exp (/ 1 im)) 2)) (* (exp (/ -1 im)) (exp (/ 1 im))))) (+ (* (/ (* (cos (/ -1 re)) (+ (pow (exp (/ -1 im)) 3) (pow (exp (/ 1 im)) 3))) (- (+ (pow (exp (/ -1 im)) 2) (pow (exp (/ 1 im)) 2)) (* (exp (/ -1 im)) (exp (/ 1 im))))) (/ 0 (- (+ (pow (exp (/ -1 im)) 2) (pow (exp (/ 1 im)) 2)) (* (exp (/ -1 im)) (exp (/ 1 im)))))) (* 0 (/ 0 (- (+ (pow (exp (/ -1 im)) 2) (pow (exp (/ 1 im)) 2)) (* (exp (/ -1 im)) (exp (/ 1 im)))))))) into 0 1.445 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* 0 0) (* 0 (/ (* (cos (/ -1 re)) (+ (pow (exp (/ -1 im)) 3) (pow (exp (/ 1 im)) 3))) (- (+ (pow (exp (/ -1 im)) 2) (pow (exp (/ 1 im)) 2)) (* (exp (/ -1 im)) (exp (/ 1 im)))))))) into 0 1.446 * [backup-simplify]: Simplify 0 into 0 1.446 * [backup-simplify]: Simplify (- (/ 0 im) (+ (* (/ -1 im) (/ 0 im)) (* 0 (/ 0 im)) (* 0 (/ 0 im)))) into 0 1.447 * [backup-simplify]: Simplify (* (exp (/ -1 im)) (+ (* (/ (pow 0 3) 6)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1)))) into 0 1.447 * [backup-simplify]: Simplify (+ (* (exp (/ -1 im)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (exp (/ -1 im)))))) into 0 1.448 * [backup-simplify]: Simplify (+ (* (exp (/ -1 im)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (pow (exp (/ -1 im)) 2))))) into 0 1.448 * [backup-simplify]: Simplify (- (+ (* (/ 1 im) (/ 0 im)) (* 0 (/ 0 im)) (* 0 (/ 0 im)))) into 0 1.449 * [backup-simplify]: Simplify (* (exp (/ 1 im)) (+ (* (/ (pow 0 3) 6)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1)))) into 0 1.449 * [backup-simplify]: Simplify (+ (* (exp (/ 1 im)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (exp (/ 1 im)))))) into 0 1.450 * [backup-simplify]: Simplify (+ (* (exp (/ 1 im)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (pow (exp (/ 1 im)) 2))))) into 0 1.450 * [backup-simplify]: Simplify (+ 0 0) into 0 1.451 * [backup-simplify]: Simplify (+ (* (cos (/ -1 re)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (+ (pow (exp (/ -1 im)) 3) (pow (exp (/ 1 im)) 3)))))) into 0 1.451 * [backup-simplify]: Simplify (- (/ 0 im) (+ (* (/ -1 im) (/ 0 im)) (* 0 (/ 0 im)) (* 0 (/ 0 im)))) into 0 1.452 * [backup-simplify]: Simplify (* (exp (/ -1 im)) (+ (* (/ (pow 0 3) 6)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1)))) into 0 1.452 * [backup-simplify]: Simplify (+ (* (exp (/ -1 im)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (exp (/ -1 im)))))) into 0 1.452 * [backup-simplify]: Simplify (- (+ (* (/ 1 im) (/ 0 im)) (* 0 (/ 0 im)) (* 0 (/ 0 im)))) into 0 1.453 * [backup-simplify]: Simplify (* (exp (/ 1 im)) (+ (* (/ (pow 0 3) 6)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1)))) into 0 1.454 * [backup-simplify]: Simplify (+ (* (exp (/ 1 im)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (exp (/ 1 im)))))) into 0 1.454 * [backup-simplify]: Simplify (+ 0 0) into 0 1.454 * [backup-simplify]: Simplify (- (+ (* (/ 1 im) (/ 0 im)) (* 0 (/ 0 im)) (* 0 (/ 0 im)))) into 0 1.455 * [backup-simplify]: Simplify (* (exp (/ 1 im)) (+ (* (/ (pow 0 3) 6)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1)))) into 0 1.455 * [backup-simplify]: Simplify (- (/ 0 im) (+ (* (/ -1 im) (/ 0 im)) (* 0 (/ 0 im)) (* 0 (/ 0 im)))) into 0 1.456 * [backup-simplify]: Simplify (* (exp (/ -1 im)) (+ (* (/ (pow 0 3) 6)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1)))) into 0 1.457 * [backup-simplify]: Simplify (+ (* (exp (/ -1 im)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (exp (/ 1 im)))))) into 0 1.457 * [backup-simplify]: Simplify (- 0) into 0 1.457 * [backup-simplify]: Simplify (+ 0 0) into 0 1.459 * [backup-simplify]: Simplify (- (/ 0 (- (+ (pow (exp (/ -1 im)) 2) (pow (exp (/ 1 im)) 2)) (* (exp (/ -1 im)) (exp (/ 1 im))))) (+ (* (/ (* (cos (/ -1 re)) (+ (pow (exp (/ -1 im)) 3) (pow (exp (/ 1 im)) 3))) (- (+ (pow (exp (/ -1 im)) 2) (pow (exp (/ 1 im)) 2)) (* (exp (/ -1 im)) (exp (/ 1 im))))) (/ 0 (- (+ (pow (exp (/ -1 im)) 2) (pow (exp (/ 1 im)) 2)) (* (exp (/ -1 im)) (exp (/ 1 im)))))) (* 0 (/ 0 (- (+ (pow (exp (/ -1 im)) 2) (pow (exp (/ 1 im)) 2)) (* (exp (/ -1 im)) (exp (/ 1 im)))))) (* 0 (/ 0 (- (+ (pow (exp (/ -1 im)) 2) (pow (exp (/ 1 im)) 2)) (* (exp (/ -1 im)) (exp (/ 1 im)))))))) into 0 1.462 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ (* (cos (/ -1 re)) (+ (pow (exp (/ -1 im)) 3) (pow (exp (/ 1 im)) 3))) (- (+ (pow (exp (/ -1 im)) 2) (pow (exp (/ 1 im)) 2)) (* (exp (/ -1 im)) (exp (/ 1 im))))))))) into 0 1.463 * [taylor]: Taking taylor expansion of 0 in im 1.463 * [backup-simplify]: Simplify 0 into 0 1.463 * [backup-simplify]: Simplify 0 into 0 1.463 * [backup-simplify]: Simplify (* 0.5 (/ (* (cos (/ -1 (/ 1 (- re)))) (+ (pow (exp (/ -1 (/ 1 (- im)))) 3) (pow (exp (/ 1 (/ 1 (- im)))) 3))) (- (+ (pow (exp (/ -1 (/ 1 (- im)))) 2) (pow (exp (/ 1 (/ 1 (- im)))) 2)) (* (exp (/ -1 (/ 1 (- im)))) (exp (/ 1 (/ 1 (- im)))))))) into (* 0.5 (/ (* (+ (pow (exp im) 3) (pow (exp (* -1 im)) 3)) (cos re)) (- (+ (pow (exp (* -1 im)) 2) (pow (exp im) 2)) (* (exp (* -1 im)) (exp im))))) 1.463 * * * * [progress]: [ 3 / 4 ] generating series at (2 1 2 2) 1.464 * [backup-simplify]: Simplify (pow (exp im) 3) into (pow (exp im) 3) 1.464 * [approximate]: Taking taylor expansion of (pow (exp im) 3) in (im) around 0 1.464 * [taylor]: Taking taylor expansion of (pow (exp im) 3) in im 1.464 * [taylor]: Taking taylor expansion of (exp im) in im 1.464 * [taylor]: Taking taylor expansion of im in im 1.464 * [backup-simplify]: Simplify 0 into 0 1.464 * [backup-simplify]: Simplify 1 into 1 1.464 * [backup-simplify]: Simplify (exp 0) into 1 1.464 * [taylor]: Taking taylor expansion of (pow (exp im) 3) in im 1.464 * [taylor]: Taking taylor expansion of (exp im) in im 1.464 * [taylor]: Taking taylor expansion of im in im 1.464 * [backup-simplify]: Simplify 0 into 0 1.464 * [backup-simplify]: Simplify 1 into 1 1.464 * [backup-simplify]: Simplify (exp 0) into 1 1.464 * [backup-simplify]: Simplify (* 1 1) into 1 1.464 * [backup-simplify]: Simplify (* 1 1) into 1 1.465 * [backup-simplify]: Simplify 1 into 1 1.465 * [backup-simplify]: Simplify (* (exp 0) (+ (* (/ (pow 1 1) 1)))) into 1 1.465 * [backup-simplify]: Simplify (+ (* 1 1) (* 1 1)) into 2 1.466 * [backup-simplify]: Simplify (+ (* 1 2) (* 1 1)) into 3 1.466 * [backup-simplify]: Simplify 3 into 3 1.467 * [backup-simplify]: Simplify (* (exp 0) (+ (* (/ (pow 1 2) 2)) (* (/ (pow 0 1) 1)))) into 1/2 1.467 * [backup-simplify]: Simplify (+ (* 1 1/2) (+ (* 1 1) (* 1/2 1))) into 2 1.467 * [backup-simplify]: Simplify (+ (* 1 2) (+ (* 1 2) (* 1/2 1))) into 9/2 1.467 * [backup-simplify]: Simplify 9/2 into 9/2 1.468 * [backup-simplify]: Simplify (+ (* 9/2 (pow im 2)) (+ (* 3 im) 1)) into (+ (* 3 im) (+ (* 9/2 (pow im 2)) 1)) 1.468 * [backup-simplify]: Simplify (pow (exp (/ 1 im)) 3) into (pow (exp (/ 1 im)) 3) 1.468 * [approximate]: Taking taylor expansion of (pow (exp (/ 1 im)) 3) in (im) around 0 1.468 * [taylor]: Taking taylor expansion of (pow (exp (/ 1 im)) 3) in im 1.468 * [taylor]: Taking taylor expansion of (exp (/ 1 im)) in im 1.468 * [taylor]: Taking taylor expansion of (/ 1 im) in im 1.468 * [taylor]: Taking taylor expansion of im in im 1.468 * [backup-simplify]: Simplify 0 into 0 1.468 * [backup-simplify]: Simplify 1 into 1 1.468 * [backup-simplify]: Simplify (/ 1 1) into 1 1.468 * [backup-simplify]: Simplify (exp (/ 1 im)) into (exp (/ 1 im)) 1.468 * [taylor]: Taking taylor expansion of (pow (exp (/ 1 im)) 3) in im 1.468 * [taylor]: Taking taylor expansion of (exp (/ 1 im)) in im 1.468 * [taylor]: Taking taylor expansion of (/ 1 im) in im 1.468 * [taylor]: Taking taylor expansion of im in im 1.468 * [backup-simplify]: Simplify 0 into 0 1.468 * [backup-simplify]: Simplify 1 into 1 1.469 * [backup-simplify]: Simplify (/ 1 1) into 1 1.469 * [backup-simplify]: Simplify (exp (/ 1 im)) into (exp (/ 1 im)) 1.469 * [backup-simplify]: Simplify (* (exp (/ 1 im)) (exp (/ 1 im))) into (pow (exp (/ 1 im)) 2) 1.469 * [backup-simplify]: Simplify (* (exp (/ 1 im)) (pow (exp (/ 1 im)) 2)) into (pow (exp (/ 1 im)) 3) 1.469 * [backup-simplify]: Simplify (pow (exp (/ 1 im)) 3) into (pow (exp (/ 1 im)) 3) 1.469 * [backup-simplify]: Simplify (+ (* (exp (/ 1 im)) 0) (* 0 (exp (/ 1 im)))) into 0 1.469 * [backup-simplify]: Simplify (+ (* (exp (/ 1 im)) 0) (* 0 (pow (exp (/ 1 im)) 2))) into 0 1.469 * [backup-simplify]: Simplify 0 into 0 1.470 * [backup-simplify]: Simplify (+ (* (exp (/ 1 im)) 0) (+ (* 0 0) (* 0 (exp (/ 1 im))))) into 0 1.470 * [backup-simplify]: Simplify (+ (* (exp (/ 1 im)) 0) (+ (* 0 0) (* 0 (pow (exp (/ 1 im)) 2)))) into 0 1.470 * [backup-simplify]: Simplify 0 into 0 1.470 * [backup-simplify]: Simplify (+ (* (exp (/ 1 im)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (exp (/ 1 im)))))) into 0 1.471 * [backup-simplify]: Simplify (+ (* (exp (/ 1 im)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (pow (exp (/ 1 im)) 2))))) into 0 1.471 * [backup-simplify]: Simplify 0 into 0 1.472 * [backup-simplify]: Simplify (+ (* (exp (/ 1 im)) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (exp (/ 1 im))))))) into 0 1.472 * [backup-simplify]: Simplify (+ (* (exp (/ 1 im)) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (pow (exp (/ 1 im)) 2)))))) into 0 1.473 * [backup-simplify]: Simplify 0 into 0 1.473 * [backup-simplify]: Simplify (+ (* (exp (/ 1 im)) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (exp (/ 1 im)))))))) into 0 1.474 * [backup-simplify]: Simplify (+ (* (exp (/ 1 im)) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (pow (exp (/ 1 im)) 2))))))) into 0 1.474 * [backup-simplify]: Simplify 0 into 0 1.475 * [backup-simplify]: Simplify (+ (* (exp (/ 1 im)) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (exp (/ 1 im))))))))) into 0 1.477 * [backup-simplify]: Simplify (+ (* (exp (/ 1 im)) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (pow (exp (/ 1 im)) 2)))))))) into 0 1.477 * [backup-simplify]: Simplify 0 into 0 1.477 * [backup-simplify]: Simplify (pow (exp (/ 1 (/ 1 im))) 3) into (pow (exp im) 3) 1.477 * [backup-simplify]: Simplify (pow (exp (/ 1 (- im))) 3) into (pow (exp (/ -1 im)) 3) 1.477 * [approximate]: Taking taylor expansion of (pow (exp (/ -1 im)) 3) in (im) around 0 1.477 * [taylor]: Taking taylor expansion of (pow (exp (/ -1 im)) 3) in im 1.477 * [taylor]: Taking taylor expansion of (exp (/ -1 im)) in im 1.477 * [taylor]: Taking taylor expansion of (/ -1 im) in im 1.477 * [taylor]: Taking taylor expansion of -1 in im 1.477 * [backup-simplify]: Simplify -1 into -1 1.477 * [taylor]: Taking taylor expansion of im in im 1.477 * [backup-simplify]: Simplify 0 into 0 1.477 * [backup-simplify]: Simplify 1 into 1 1.477 * [backup-simplify]: Simplify (/ -1 1) into -1 1.477 * [backup-simplify]: Simplify (exp (/ -1 im)) into (exp (/ -1 im)) 1.477 * [taylor]: Taking taylor expansion of (pow (exp (/ -1 im)) 3) in im 1.477 * [taylor]: Taking taylor expansion of (exp (/ -1 im)) in im 1.477 * [taylor]: Taking taylor expansion of (/ -1 im) in im 1.477 * [taylor]: Taking taylor expansion of -1 in im 1.477 * [backup-simplify]: Simplify -1 into -1 1.477 * [taylor]: Taking taylor expansion of im in im 1.477 * [backup-simplify]: Simplify 0 into 0 1.477 * [backup-simplify]: Simplify 1 into 1 1.478 * [backup-simplify]: Simplify (/ -1 1) into -1 1.478 * [backup-simplify]: Simplify (exp (/ -1 im)) into (exp (/ -1 im)) 1.478 * [backup-simplify]: Simplify (* (exp (/ -1 im)) (exp (/ -1 im))) into (pow (exp (/ -1 im)) 2) 1.478 * [backup-simplify]: Simplify (* (exp (/ -1 im)) (pow (exp (/ -1 im)) 2)) into (pow (exp (/ -1 im)) 3) 1.478 * [backup-simplify]: Simplify (pow (exp (/ -1 im)) 3) into (pow (exp (/ -1 im)) 3) 1.478 * [backup-simplify]: Simplify (+ (* (exp (/ -1 im)) 0) (* 0 (exp (/ -1 im)))) into 0 1.478 * [backup-simplify]: Simplify (+ (* (exp (/ -1 im)) 0) (* 0 (pow (exp (/ -1 im)) 2))) into 0 1.478 * [backup-simplify]: Simplify 0 into 0 1.479 * [backup-simplify]: Simplify (+ (* (exp (/ -1 im)) 0) (+ (* 0 0) (* 0 (exp (/ -1 im))))) into 0 1.479 * [backup-simplify]: Simplify (+ (* (exp (/ -1 im)) 0) (+ (* 0 0) (* 0 (pow (exp (/ -1 im)) 2)))) into 0 1.479 * [backup-simplify]: Simplify 0 into 0 1.480 * [backup-simplify]: Simplify (+ (* (exp (/ -1 im)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (exp (/ -1 im)))))) into 0 1.480 * [backup-simplify]: Simplify (+ (* (exp (/ -1 im)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (pow (exp (/ -1 im)) 2))))) into 0 1.480 * [backup-simplify]: Simplify 0 into 0 1.481 * [backup-simplify]: Simplify (+ (* (exp (/ -1 im)) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (exp (/ -1 im))))))) into 0 1.482 * [backup-simplify]: Simplify (+ (* (exp (/ -1 im)) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (pow (exp (/ -1 im)) 2)))))) into 0 1.482 * [backup-simplify]: Simplify 0 into 0 1.483 * [backup-simplify]: Simplify (+ (* (exp (/ -1 im)) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (exp (/ -1 im)))))))) into 0 1.483 * [backup-simplify]: Simplify (+ (* (exp (/ -1 im)) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (pow (exp (/ -1 im)) 2))))))) into 0 1.484 * [backup-simplify]: Simplify 0 into 0 1.485 * [backup-simplify]: Simplify (+ (* (exp (/ -1 im)) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (exp (/ -1 im))))))))) into 0 1.486 * [backup-simplify]: Simplify (+ (* (exp (/ -1 im)) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (pow (exp (/ -1 im)) 2)))))))) into 0 1.486 * [backup-simplify]: Simplify 0 into 0 1.486 * [backup-simplify]: Simplify (pow (exp (/ -1 (/ 1 (- im)))) 3) into (pow (exp im) 3) 1.486 * * * * [progress]: [ 4 / 4 ] generating series at (2 1 2 1) 1.486 * [backup-simplify]: Simplify (pow (exp (- im)) 3) into (pow (exp (- im)) 3) 1.486 * [approximate]: Taking taylor expansion of (pow (exp (- im)) 3) in (im) around 0 1.486 * [taylor]: Taking taylor expansion of (pow (exp (- im)) 3) in im 1.486 * [taylor]: Taking taylor expansion of (exp (- im)) in im 1.486 * [taylor]: Taking taylor expansion of (- im) in im 1.486 * [taylor]: Taking taylor expansion of im in im 1.486 * [backup-simplify]: Simplify 0 into 0 1.486 * [backup-simplify]: Simplify 1 into 1 1.487 * [backup-simplify]: Simplify (- 0) into 0 1.487 * [backup-simplify]: Simplify (- 1) into -1 1.487 * [backup-simplify]: Simplify (exp 0) into 1 1.487 * [taylor]: Taking taylor expansion of (pow (exp (- im)) 3) in im 1.487 * [taylor]: Taking taylor expansion of (exp (- im)) in im 1.487 * [taylor]: Taking taylor expansion of (- im) in im 1.487 * [taylor]: Taking taylor expansion of im in im 1.487 * [backup-simplify]: Simplify 0 into 0 1.487 * [backup-simplify]: Simplify 1 into 1 1.487 * [backup-simplify]: Simplify (- 0) into 0 1.487 * [backup-simplify]: Simplify (- 1) into -1 1.487 * [backup-simplify]: Simplify (exp 0) into 1 1.488 * [backup-simplify]: Simplify (* 1 1) into 1 1.488 * [backup-simplify]: Simplify (* 1 1) into 1 1.488 * [backup-simplify]: Simplify 1 into 1 1.488 * [backup-simplify]: Simplify (- 1) into -1 1.489 * [backup-simplify]: Simplify (* (exp 0) (+ (* (/ (pow -1 1) 1)))) into -1 1.489 * [backup-simplify]: Simplify (+ (* 1 -1) (* -1 1)) into -2 1.490 * [backup-simplify]: Simplify (+ (* 1 -2) (* -1 1)) into -3 1.490 * [backup-simplify]: Simplify -3 into -3 1.490 * [backup-simplify]: Simplify (- 1) into -1 1.490 * [backup-simplify]: Simplify (- 0) into 0 1.491 * [backup-simplify]: Simplify (* (exp 0) (+ (* (/ (pow -1 2) 2)) (* (/ (pow 0 1) 1)))) into 1/2 1.491 * [backup-simplify]: Simplify (+ (* 1 1/2) (+ (* -1 -1) (* 1/2 1))) into 2 1.492 * [backup-simplify]: Simplify (+ (* 1 2) (+ (* -1 -2) (* 1/2 1))) into 9/2 1.492 * [backup-simplify]: Simplify 9/2 into 9/2 1.492 * [backup-simplify]: Simplify (+ (* 9/2 (pow im 2)) (+ (* -3 im) 1)) into (- (+ (* 9/2 (pow im 2)) 1) (* 3 im)) 1.492 * [backup-simplify]: Simplify (pow (exp (- (/ 1 im))) 3) into (pow (exp (- (/ 1 im))) 3) 1.492 * [approximate]: Taking taylor expansion of (pow (exp (- (/ 1 im))) 3) in (im) around 0 1.492 * [taylor]: Taking taylor expansion of (pow (exp (- (/ 1 im))) 3) in im 1.492 * [taylor]: Taking taylor expansion of (exp (- (/ 1 im))) in im 1.492 * [taylor]: Taking taylor expansion of (- (/ 1 im)) in im 1.492 * [taylor]: Taking taylor expansion of (/ 1 im) in im 1.492 * [taylor]: Taking taylor expansion of im in im 1.492 * [backup-simplify]: Simplify 0 into 0 1.492 * [backup-simplify]: Simplify 1 into 1 1.493 * [backup-simplify]: Simplify (/ 1 1) into 1 1.493 * [backup-simplify]: Simplify (- 1) into -1 1.493 * [backup-simplify]: Simplify (exp (- (/ 1 im))) into (exp (- (/ 1 im))) 1.493 * [taylor]: Taking taylor expansion of (pow (exp (- (/ 1 im))) 3) in im 1.493 * [taylor]: Taking taylor expansion of (exp (- (/ 1 im))) in im 1.493 * [taylor]: Taking taylor expansion of (- (/ 1 im)) in im 1.493 * [taylor]: Taking taylor expansion of (/ 1 im) in im 1.493 * [taylor]: Taking taylor expansion of im in im 1.493 * [backup-simplify]: Simplify 0 into 0 1.493 * [backup-simplify]: Simplify 1 into 1 1.493 * [backup-simplify]: Simplify (/ 1 1) into 1 1.493 * [backup-simplify]: Simplify (- 1) into -1 1.494 * [backup-simplify]: Simplify (exp (- (/ 1 im))) into (exp (- (/ 1 im))) 1.494 * [backup-simplify]: Simplify (* (exp (- (/ 1 im))) (exp (- (/ 1 im)))) into (pow (exp (- (/ 1 im))) 2) 1.494 * [backup-simplify]: Simplify (* (exp (- (/ 1 im))) (pow (exp (- (/ 1 im))) 2)) into (pow (exp (- (/ 1 im))) 3) 1.494 * [backup-simplify]: Simplify (pow (exp (- (/ 1 im))) 3) into (pow (exp (- (/ 1 im))) 3) 1.494 * [backup-simplify]: Simplify (+ (* (exp (- (/ 1 im))) 0) (* 0 (exp (- (/ 1 im))))) into 0 1.494 * [backup-simplify]: Simplify (+ (* (exp (- (/ 1 im))) 0) (* 0 (pow (exp (- (/ 1 im))) 2))) into 0 1.494 * [backup-simplify]: Simplify 0 into 0 1.495 * [backup-simplify]: Simplify (+ (* (exp (- (/ 1 im))) 0) (+ (* 0 0) (* 0 (exp (- (/ 1 im)))))) into 0 1.495 * [backup-simplify]: Simplify (+ (* (exp (- (/ 1 im))) 0) (+ (* 0 0) (* 0 (pow (exp (- (/ 1 im))) 2)))) into 0 1.495 * [backup-simplify]: Simplify 0 into 0 1.496 * [backup-simplify]: Simplify (+ (* (exp (- (/ 1 im))) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (exp (- (/ 1 im))))))) into 0 1.496 * [backup-simplify]: Simplify (+ (* (exp (- (/ 1 im))) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (pow (exp (- (/ 1 im))) 2))))) into 0 1.496 * [backup-simplify]: Simplify 0 into 0 1.497 * [backup-simplify]: Simplify (+ (* (exp (- (/ 1 im))) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (exp (- (/ 1 im)))))))) into 0 1.498 * [backup-simplify]: Simplify (+ (* (exp (- (/ 1 im))) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (pow (exp (- (/ 1 im))) 2)))))) into 0 1.498 * [backup-simplify]: Simplify 0 into 0 1.499 * [backup-simplify]: Simplify (+ (* (exp (- (/ 1 im))) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (exp (- (/ 1 im))))))))) into 0 1.500 * [backup-simplify]: Simplify (+ (* (exp (- (/ 1 im))) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (pow (exp (- (/ 1 im))) 2))))))) into 0 1.500 * [backup-simplify]: Simplify 0 into 0 1.501 * [backup-simplify]: Simplify (+ (* (exp (- (/ 1 im))) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (exp (- (/ 1 im)))))))))) into 0 1.502 * [backup-simplify]: Simplify (+ (* (exp (- (/ 1 im))) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (pow (exp (- (/ 1 im))) 2)))))))) into 0 1.502 * [backup-simplify]: Simplify 0 into 0 1.502 * [backup-simplify]: Simplify (pow (exp (- (/ 1 (/ 1 im)))) 3) into (pow (exp (- im)) 3) 1.502 * [backup-simplify]: Simplify (pow (exp (- (/ 1 (- im)))) 3) into (pow (exp (/ 1 im)) 3) 1.502 * [approximate]: Taking taylor expansion of (pow (exp (/ 1 im)) 3) in (im) around 0 1.502 * [taylor]: Taking taylor expansion of (pow (exp (/ 1 im)) 3) in im 1.502 * [taylor]: Taking taylor expansion of (exp (/ 1 im)) in im 1.502 * [taylor]: Taking taylor expansion of (/ 1 im) in im 1.502 * [taylor]: Taking taylor expansion of im in im 1.502 * [backup-simplify]: Simplify 0 into 0 1.502 * [backup-simplify]: Simplify 1 into 1 1.503 * [backup-simplify]: Simplify (/ 1 1) into 1 1.503 * [backup-simplify]: Simplify (exp (/ 1 im)) into (exp (/ 1 im)) 1.503 * [taylor]: Taking taylor expansion of (pow (exp (/ 1 im)) 3) in im 1.503 * [taylor]: Taking taylor expansion of (exp (/ 1 im)) in im 1.503 * [taylor]: Taking taylor expansion of (/ 1 im) in im 1.503 * [taylor]: Taking taylor expansion of im in im 1.503 * [backup-simplify]: Simplify 0 into 0 1.503 * [backup-simplify]: Simplify 1 into 1 1.503 * [backup-simplify]: Simplify (/ 1 1) into 1 1.503 * [backup-simplify]: Simplify (exp (/ 1 im)) into (exp (/ 1 im)) 1.503 * [backup-simplify]: Simplify (* (exp (/ 1 im)) (exp (/ 1 im))) into (pow (exp (/ 1 im)) 2) 1.503 * [backup-simplify]: Simplify (* (exp (/ 1 im)) (pow (exp (/ 1 im)) 2)) into (pow (exp (/ 1 im)) 3) 1.503 * [backup-simplify]: Simplify (pow (exp (/ 1 im)) 3) into (pow (exp (/ 1 im)) 3) 1.504 * [backup-simplify]: Simplify (+ (* (exp (/ 1 im)) 0) (* 0 (exp (/ 1 im)))) into 0 1.504 * [backup-simplify]: Simplify (+ (* (exp (/ 1 im)) 0) (* 0 (pow (exp (/ 1 im)) 2))) into 0 1.504 * [backup-simplify]: Simplify 0 into 0 1.504 * [backup-simplify]: Simplify (+ (* (exp (/ 1 im)) 0) (+ (* 0 0) (* 0 (exp (/ 1 im))))) into 0 1.504 * [backup-simplify]: Simplify (+ (* (exp (/ 1 im)) 0) (+ (* 0 0) (* 0 (pow (exp (/ 1 im)) 2)))) into 0 1.504 * [backup-simplify]: Simplify 0 into 0 1.505 * [backup-simplify]: Simplify (+ (* (exp (/ 1 im)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (exp (/ 1 im)))))) into 0 1.506 * [backup-simplify]: Simplify (+ (* (exp (/ 1 im)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (pow (exp (/ 1 im)) 2))))) into 0 1.506 * [backup-simplify]: Simplify 0 into 0 1.506 * [backup-simplify]: Simplify (+ (* (exp (/ 1 im)) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (exp (/ 1 im))))))) into 0 1.507 * [backup-simplify]: Simplify (+ (* (exp (/ 1 im)) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (pow (exp (/ 1 im)) 2)))))) into 0 1.507 * [backup-simplify]: Simplify 0 into 0 1.508 * [backup-simplify]: Simplify (+ (* (exp (/ 1 im)) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (exp (/ 1 im)))))))) into 0 1.509 * [backup-simplify]: Simplify (+ (* (exp (/ 1 im)) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (pow (exp (/ 1 im)) 2))))))) into 0 1.509 * [backup-simplify]: Simplify 0 into 0 1.510 * [backup-simplify]: Simplify (+ (* (exp (/ 1 im)) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (exp (/ 1 im))))))))) into 0 1.511 * [backup-simplify]: Simplify (+ (* (exp (/ 1 im)) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (pow (exp (/ 1 im)) 2)))))))) into 0 1.511 * [backup-simplify]: Simplify 0 into 0 1.511 * [backup-simplify]: Simplify (pow (exp (/ 1 (/ 1 (- im)))) 3) into (pow (exp (* -1 im)) 3) 1.512 * * * [progress]: simplifying candidates 1.514 * [simplify]: Simplifying: (fma (exp im) (exp im) (- (* (exp im) (exp (- im))))) (fma (- (exp im)) (exp (- im)) (* (exp im) (exp (- im)))) (expm1 (- (* (exp im) (exp im)) (* (exp (- im)) (exp im)))) (log1p (- (* (exp im) (exp im)) (* (exp (- im)) (exp im)))) (- (* (exp (- im)) (exp im))) (/ (exp (* (exp im) (exp im))) (exp (* (exp (- im)) (exp im)))) (log (- (* (exp im) (exp im)) (* (exp (- im)) (exp im)))) (exp (- (* (exp im) (exp im)) (* (exp (- im)) (exp im)))) (* (cbrt (- (* (exp im) (exp im)) (* (exp (- im)) (exp im)))) (cbrt (- (* (exp im) (exp im)) (* (exp (- im)) (exp im))))) (cbrt (- (* (exp im) (exp im)) (* (exp (- im)) (exp im)))) (* (* (- (* (exp im) (exp im)) (* (exp (- im)) (exp im))) (- (* (exp im) (exp im)) (* (exp (- im)) (exp im)))) (- (* (exp im) (exp im)) (* (exp (- im)) (exp im)))) (sqrt (- (* (exp im) (exp im)) (* (exp (- im)) (exp im)))) (sqrt (- (* (exp im) (exp im)) (* (exp (- im)) (exp im)))) (- (pow (* (exp im) (exp im)) 3) (pow (* (exp (- im)) (exp im)) 3)) (+ (* (* (exp im) (exp im)) (* (exp im) (exp im))) (+ (* (* (exp (- im)) (exp im)) (* (exp (- im)) (exp im))) (* (* (exp im) (exp im)) (* (exp (- im)) (exp im))))) (- (* (exp (- im)) (exp im))) (- (* (* (exp im) (exp im)) (* (exp im) (exp im))) (* (* (exp (- im)) (exp im)) (* (exp (- im)) (exp im)))) (+ (* (exp im) (exp im)) (* (exp (- im)) (exp im))) (- (exp im) (exp (- im))) (- (* (exp (- im)) (exp im))) (expm1 (/ (* (* 0.5 (cos re)) (+ (pow (exp (- im)) 3) (pow (exp im) 3))) (+ (* (exp (- im)) (exp (- im))) (- (* (exp im) (exp im)) (* (exp (- im)) (exp im)))))) (log1p (/ (* (* 0.5 (cos re)) (+ (pow (exp (- im)) 3) (pow (exp im) 3))) (+ (* (exp (- im)) (exp (- im))) (- (* (exp im) (exp im)) (* (exp (- im)) (exp im)))))) (- (+ (+ (log 0.5) (log (cos re))) (log (+ (pow (exp (- im)) 3) (pow (exp im) 3)))) (log (+ (* (exp (- im)) (exp (- im))) (- (* (exp im) (exp im)) (* (exp (- im)) (exp im)))))) (- (+ (log (* 0.5 (cos re))) (log (+ (pow (exp (- im)) 3) (pow (exp im) 3)))) (log (+ (* (exp (- im)) (exp (- im))) (- (* (exp im) (exp im)) (* (exp (- im)) (exp im)))))) (- (log (* (* 0.5 (cos re)) (+ (pow (exp (- im)) 3) (pow (exp im) 3)))) (log (+ (* (exp (- im)) (exp (- im))) (- (* (exp im) (exp im)) (* (exp (- im)) (exp im)))))) (log (/ (* (* 0.5 (cos re)) (+ (pow (exp (- im)) 3) (pow (exp im) 3))) (+ (* (exp (- im)) (exp (- im))) (- (* (exp im) (exp im)) (* (exp (- im)) (exp im)))))) (exp (/ (* (* 0.5 (cos re)) (+ (pow (exp (- im)) 3) (pow (exp im) 3))) (+ (* (exp (- im)) (exp (- im))) (- (* (exp im) (exp im)) (* (exp (- im)) (exp im)))))) (/ (* (* (* (* 0.5 0.5) 0.5) (* (* (cos re) (cos re)) (cos re))) (* (* (+ (pow (exp (- im)) 3) (pow (exp im) 3)) (+ (pow (exp (- im)) 3) (pow (exp im) 3))) (+ (pow (exp (- im)) 3) 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(pow (exp (- h0)) 3) (pow (exp (* -1 h0)) 3) 1.524 * * [simplify]: iteration 0 : 929 enodes (cost 2196 ) 1.541 * * [simplify]: iteration 1 : 4955 enodes (cost 1695 ) 1.752 * * [simplify]: iteration 2 : 5001 enodes (cost 1676 ) 1.758 * * * [progress]: adding candidates to table 2.177 * [progress]: [Phase 3 of 3] Extracting. 2.177 * * [regime]: Finding splitpoints for: (# #) 2.178 * * * [regime-changes]: Trying 4 branch expressions: ((cos re) (* 0.5 (cos re)) im re) 2.178 * * * * [regimes]: Trying to branch on (cos re) from (# #) 2.192 * * * * [regimes]: Trying to branch on (* 0.5 (cos re)) from (# #) 2.207 * * * * [regimes]: Trying to branch on im from (# #) 2.221 * * * * [regimes]: Trying to branch on re from (# #) 2.241 * * * [regime]: Found split indices: #